planet/UIC/微积分/Chapter_2.tm

<TeXmacs|2.1.2>

<style|<tuple|projector|reddish|framed-theorems|number-long-article|invisible-multiply>>

<\body>
  <\hide-preamble>
    <assign|math|<macro|x|<math-colored|<with|math-display|true|<uncolored-math|<arg|x>>>>>>
  </hide-preamble>

  <screens|<\shown>
    <chapter*|Chapter 2: Limits and Derivatives>

    <section|The Tangent and Velocity Problems>

    <subsection|The tangent problem (how to find the tangent line)>

    \;

    <with|gr-mode|<tuple|group-edit|edit-props>|gr-frame|<tuple|scale|1cm|<tuple|0.28001gw|0.499999gh>>|gr-geometry|<tuple|geometry|1par|0.6par>|gr-grid|<tuple|cartesian|<point|0|0>|1>|gr-grid-old|<tuple|cartesian|<point|0|0>|1>|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|10|none>>|gr-edit-grid|<tuple|cartesian|<point|0|0>|1>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|1>|gr-fill-color|red|gr-color|blue|<graphics||<spline|<point|-2.95384|0.5>|<point|-0.7|-0.7>|<point|2.0|1.7>>|<math-at|y=f<around*|(|x|)>|<point|2.2|1.7>>|<with|color|red|fill-color|red|<point|-0.4|-0.602261>>|<with|color|red|<text-at|secant
    line|<point|1.9|0.4>>>|<with|color|red|<math-at|<around*|(|a,f<around*|(|a|)>|)>|<point|-1.53969986357435|-0.260668072264252>>>|<with|color|red|<math-at|<around*|(|b,f<around*|(|b|)>|)>|<point|0.23470999214519|1.11374178345529>>>|<with|color|blue|fill-color|red|<line|<point|-0.4|-0.602261>|<point|1.6|0.3>>>|<with|color|red|fill-color|red|<line|<point|-0.4|-0.602261>|<point|1.47921610728005|1.0>>>|<with|color|red|<math-at|y=<frac|f<around*|(|b|)>-f<around*|(|a|)>|b-a>*<around*|(|x-a|)>+f<around*|(|a|)>|<point|2.0|-0.3>>>|<with|color|blue|fill-color|red|<\document-at>
      \;
    </document-at|<point|3.2|-2.5>>>|<with|color|blue|<\document-at>
      In fact,

      <\equation*>
        m=lim<rsub|b\<rightarrow\>a> <frac|f<around*|(|b|)>-f<around*|(|a|)>|b-a>
      </equation*>
    </document-at|<point|3.7|-1.3>>>|<with|color|blue|<\document-at>
      tangent line:

      <\equation*>
        y=m*x+f<around*|(|a|)>
      </equation*>

      \ for some slope m
    </document-at|<point|0.3|-1.0>>>|<\with|fill-color|red|color|blue>
      \;
    </with>>>

    <subsection|The velocity problem (how to find instantaneous velocity)>

    <\unfolded-plain>
      Let <math|S<around*|(|t|)>> be the position of an object at time
      <math|t>. The average velocity from <math|t=a> to <math|t=b> is

      <\equation*>
        <frac|S<around*|(|b|)>-S<around*|(|a|)>|b-a>
      </equation*>

      The instantaneous velocity is the limit of the average velocity in
      shorter and shorter time intervals, i.e.

      <\equation*>
        lim<rsub|b\<rightarrow\>a> <frac|S<around*|(|b|)>-S<around*|(|a|)>|b-a>
      </equation*>

      <\remark>
        Limit is always a dynamic process!
      </remark>
    <|unfolded-plain>
      \;
    </unfolded-plain>

    <section|The Limit of a Function>

    <subsection|Intuitive definition of a limit>

    <\definition>
      For a given function <math|f<around*|(|x|)>>, and a point <math|x=a>
      <deleted|in the domain of <math|f>>, we say

      <\equation*>
        <with|color|blue|<with|color|red|lim<rsub|x\<rightarrow\>a>
        f<around*|(|x|)>=L>>,
      </equation*>

      read as: the limit of <math|f<around*|(|x|)>>, as <math|x> approaches
      <math|a>, equals <math|L>, if <math|f<around*|(|x|)>> gets arbitrarily
      close to <math|L> as long as <math|x> is sufficiently close to
      <math|a>.
    </definition>

    <\example>
      Let <math|f<around*|(|x|)>=x<rsup|2>>, then\ 

      <\equation*>
        lim<rsub|x\<rightarrow\>3> f<around*|(|x|)>=9
      </equation*>
    </example>

    <\wide-block>
      <tformat|<cwith|1|1|1|1|cell-lsep|1spc>|<cwith|1|1|1|1|cell-rsep|1spc>|<cwith|1|1|1|1|cell-bsep|1spc>|<cwith|1|1|1|1|cell-tsep|1spc>|<table|<row|<\cell>
        <\example>
          Find the equation of the tangent line to the graph of
          <math|f<around*|(|x|)>=x<rsup|2>> at <math|x=1>.

          <\answer*>
            Draw a secant line from <math|<around*|(|1,1|)>> to
            <math|<around*|(|x,f<around*|(|x|)>|)>>. Its slope is

            <\equation*>
              m<around*|(|x|)>=<frac|f<around*|(|x|)>-1|x-1>=<frac|x<rsup|2>-1|x-1>.
            </equation*>

            Then the slope of the tangent line is

            <\equation*>
              lim<rsub|x\<rightarrow\>1> m<around*|(|x|)>=lim<rsub|x\<rightarrow\>1>
              <frac|x<rsup|2>-1|x-1>=lim<rsub|x\<rightarrow\>1> x+1=2.
            </equation*>

            So the equation of the tangent line is

            <\equation*>
              y=2*<around*|(|x-1|)>+1=2*x-1.
            </equation*>
          </answer*>
        </example>
      </cell>>>>
    </wide-block>

    <\question>
      \;

      <\equation*>
        lim<rsub|x\<rightarrow\>0> <frac|sin x|x>=?
      </equation*>

      Hint: draw a circle.

      <with|gr-mode|<tuple|edit|math-at>|gr-frame|<tuple|scale|1cm|<tuple|0.5gw|0.5gh>>|gr-geometry|<tuple|geometry|1par|0.6par>|gr-grid|<tuple|cartesian|<point|0|0>|2>|gr-grid-old|<tuple|cartesian|<point|0|0>|2>|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|10|none>>|gr-edit-grid|<tuple|cartesian|<point|0|0>|2>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|2>|gr-snap|<tuple>|gr-arrow-end|\<gtr\>|gr-color|blue|<graphics||<carc|<point|-2|0>|<point|2.0|0.0>|<point|0.0|-2.0>>|<with|color|blue|<line|<point|0|0>|<point|2.0|0.0>>>|<with|color|blue|<line|<point|0|0>|<point|1.73205080756888|1.0>>>|<with|color|blue|<math-at|x|<point|0.6|0.114858>>>|<with|color|blue|<math-at|r=1|<point|0.8|-0.300381>>>|<with|color|blue|<line|<point|1.73428|0.999297>|<point|1.7438009012361|0.00869816858902807>>>|<with|color|blue|arrow-end|\<gtr\>|<line|<point|2.34388|1.1517>|<point|1.7819008640291|0.427797759312084>>>|<with|color|blue|<math-at|sin
      x|<point|2.55343|1.24695>>>|<with|arrow-end|\<gtr\>|<line|<point|2.91538|0.627823>|<point|2.02955062218364|0.294447889536566>>>|<math-at|x|<point|3.09636|0.637348>>|<with|color|blue|<math-at|lim<rsub|x\<rightarrow\>0>
      <frac|sin x|x>=1|<point|2.34388|-0.705676>>>>>
    </question>

    <\example>
      \;

      <\equation*>
        lim<rsub|x\<rightarrow\>0> sin <frac|1|x>=?
      </equation*>

      The limit does not exist!\ 
    </example>

    <\example>
      \;

      <\equation*>
        lim<rsub|x\<rightarrow\>0> x*sin <frac|1|x>=0
      </equation*>
    </example>

    <with|ornament-border|1ln|ornament-color|red|ornament-shape|rounded|<\remark>
      In the definition of <math|lim<rsub|x\<rightarrow\>a>
      f<around*|(|x|)>=L>, the function value <math|f<around*|(|a|)>> is
      irrelevant. In fact, <math|f> can even be undefined on <math|x=a>.
    </remark>>

    <\example>
      Let

      <\equation*>
        f<around*|(|x|)>=<choice|<tformat|<table|<row|<cell|1-x,>|<cell|x\<less\>0,>>|<row|<cell|e<rsup|x>,>|<cell|x\<gtr\>0,>>|<row|<cell|5,>|<cell|x=0,>>>>><space|1em>g<around*|(|x|)>=<choice|<tformat|<table|<row|<cell|1-x,>|<cell|x\<less\>0,>>|<row|<cell|e<rsup|x>,>|<cell|x\<gtr\>0.>>>>>
      </equation*>

      Find <math|lim<rsub|x\<rightarrow\>0> f<around*|(|x|)>> and
      <math|lim<rsub|x\<rightarrow\>0> g<around*|(|x|)>>.

      <\answer*>
        <\equation*>
          lim<rsub|x\<rightarrow\>0> f<around*|(|x|)>=1\<neq\>f<around*|(|0|)>
        </equation*>

        <\equation*>
          lim<rsub|x\<rightarrow\>0> g<around*|(|x|)>=1,<space|1em>g<around*|(|0|)>
          <text|is undefined>
        </equation*>
      </answer*>
    </example>

    <subsection|One-sided limits>

    <\definition>
      For a given function <math|f<around*|(|x|)>>, and a point <math|x=a>,
      \ we say

      <\equation*>
        <with|color|blue|<with|color|red|lim<rsub|x\<rightarrow\><with|color|dark
        green|a<rsup|->>> f<around*|(|x|)>=L>>,
      </equation*>

      read as: the <strong|left-hand limit> of <math|f<around*|(|x|)>>, as
      <math|x> approaches <math|a>, equals <math|L>, if
      <math|f<around*|(|x|)>> gets arbitrarily close to <math|L> as long as
      <math|x\<less\>a> is sufficiently close to <math|a>.

      Definition of the <strong|right-hand limit> is similar.\ 
    </definition>

    <\example>
      Find the left and right hand limits of

      <\equation*>
        f<around*|(|x|)>=<choice|<tformat|<table|<row|<cell|x-1,>|<cell|x\<less\>0,>>|<row|<cell|sin
        x+3,>|<cell|x\<gtr\>0.>>>>>
      </equation*>

      <\answer*>
        <\equation*>
          lim<rsub|x\<rightarrow\>0<rsup|->>
          f<around*|(|x|)>=-1,<space|1em>lim<rsub|x\<rightarrow\>0<rsup|+>>
          f<around*|(|x|)>=3.
        </equation*>
      </answer*>
    </example>

    \;

    Relation between limit and one-sided limits:

    <\itemize>
      <item>If the limit exists, the both left and right hand limit exsits
      and equal to the limit value itself

      <item>If both left and right hand limit exists and equal to the same
      value, then the limit exists and equal to the same value.

      <item>If both left and right hand limit exists but they are not equal,
      then the limit does not exist.\ 
    </itemize>

    \;

    <\example>
      \ 

      <\wide-tabular>
        <tformat|<cwith|1|1|2|2|cell-valign|c>|<cwith|1|1|1|1|cell-valign|c>|<table|<row|<\cell>
          <image|<tuple|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|png>|0.5par|||>
        </cell>|<\cell>
          <\itemize>
            <item><math|<with|math-display|true|lim<rsub|x\<rightarrow\>2<rsup|->>
            g<around*|(|x|)>=3>>

            <item><math|<with|math-display|true|lim<rsub|x\<rightarrow\>2<rsup|+>>
            g<around*|(|x|)>=1>>

            <item><math|<with|math-display|true|lim<rsub|x\<rightarrow\>2>
            g<around*|(|x|)>>> not exist!

            <item><math|g<around*|(|2|)>> is undefined!

            <item><math|<with|math-display|true|lim<rsub|x\<rightarrow\>5<rsup|->>
            g<around*|(|x|)>=2>>

            <item><math|<with|math-display|true|lim<rsub|x\<rightarrow\>5<rsup|+>>
            g<around*|(|x|)>=2>>

            <item><math|<with|math-display|true|lim<rsub|x\<rightarrow\>5<rsup|>>
            g<around*|(|x|)>=2>>

            <item><math|g<around*|(|5|)>\<approx\>1.2>

            <item><math|<with|math-display|true|lim<rsub|x\<rightarrow\>3>
            g<around*|(|x|)>=1.5=g<around*|(|3|)>>>
          </itemize>
        </cell>>>>
      </wide-tabular>
    </example>

    <subsection|Infinite limits>

    <\definition>
      We write

      <\equation*>
        lim<rsub|x\<rightarrow\>a> f<around*|(|x|)>=\<infty\>
      </equation*>

      if <math|f<around*|(|x|)>> gets arbitrarily large when <math|x> is
      sufficiently close to <math|a>.

      Similarly, we can define

      <\equation*>
        lim<rsub|x\<rightarrow\>a> f<around*|(|x|)>=-\<infty\>
      </equation*>
    </definition>

    <\note*>
      In these cases we will not say the limit exists.\ 
    </note*>

    <\example*>
      <\equation*>
        lim<rsub|x\<rightarrow\>0> <frac|1|x<rsup|2>>=\<infty\>
      </equation*>
    </example*>

    <strong|One-sided infinite limits> can be defined similarly

    <\equation*>
      lim<rsub|x\<rightarrow\>a<rsup|->> f<around*|(|x|)>=\<infty\><infix-or>-\<infty\>
    </equation*>

    <\equation*>
      lim<rsub|x\<rightarrow\>a<rsup|+>> f<around*|(|x|)>=\<infty\><infix-or>-\<infty\>
    </equation*>

    <\example*>
      <\equation*>
        lim<rsub|x\<rightarrow\>0<rsup|+>>
        <frac|1|x>=\<infty\>,<space|1em>lim<rsub|x\<rightarrow\>0<rsup|->>
        <frac|1|x>=-\<infty\>.
      </equation*>
    </example*>

    <\example*>
      \;

      <\equation*>
        lim<rsub|x\<rightarrow\>0<rsup|+>> ln
        x=-\<infty\>,<space|1em>lim<rsub|x\<rightarrow\><around*|(|<frac|\<pi\>|2>|)><rsup|->>
        tan x=\<infty\>,<space|1em><space|1em>lim<rsub|x\<rightarrow\><around*|(|<frac|\<pi\>|2>|)><rsup|+>>
        tan x=-\<infty\>
      </equation*>
    </example*>

    <\definition>
      If the left/right hand limit of <math|f<around*|(|x|)>> is
      <math|\<infty\>> or <math|-\<infty\>> as <math|x> approaches <math|a>,
      then the line <math|x=a> is called a vertical asymptote of <math|f>.\ 
    </definition>

    \;

    <section|Calculating Limits Using the Limit Laws>

    <\wide-block>
      <tformat|<cwith|1|-1|1|-1|cell-lsep|2spc>|<cwith|1|-1|1|-1|cell-rsep|2spc>|<cwith|1|-1|1|-1|cell-bsep|2spc>|<cwith|1|-1|1|-1|cell-tsep|2spc>|<table|<row|<\cell>
        <strong|Limit Laws >(for limit or one-sided limits)

        <\enumerate>
          <item>Sum Law: <math|<with|math-display|true|lim<rsub|x\<rightarrow\>a>
          <around*|[|f<around*|(|x|)>+g<around*|(|x|)>|]>=lim<rsub|x\<rightarrow\>a>
          f<around*|(|x|)>+lim<rsub|x\<rightarrow\>a> g<around*|(|x|)>>>
          provided the limits on the right-hand-side exist.\ 

          <item>Difference Law: <math|<with|math-display|true|lim<rsub|x\<rightarrow\>a>
          <around*|[|f<around*|(|x|)>-g<around*|(|x|)>|]>=lim<rsub|x\<rightarrow\>a>
          f<around*|(|x|)>-lim<rsub|x\<rightarrow\>a> g<around*|(|x|)>>>
          provided the limits on the right-hand-side exist.\ 

          <item>Constant Multiple Law: <math|<with|math-display|true|lim<rsub|x\<rightarrow\>a>
          c*f<around*|(|x|)>=c*lim<rsub|x\<rightarrow\>a>> f<around*|(|x|)>>
          provided the limit on the right-hand-side exists, where <math|c> is
          a constant. \ 

          <item>Product Law: <math|<with|math-display|true|lim<rsub|x\<rightarrow\>a>
          <around*|[|f<around*|(|x|)>*g<around*|(|x|)>|]>=lim<rsub|x\<rightarrow\>a>
          f<around*|(|x|)>*lim<rsub|x\<rightarrow\>a> g<around*|(|x|)>>>
          provided the limits on the right-hand-side exist.\ 

          <item>Quotient Law: \ <math|<with|math-display|true|lim<rsub|x\<rightarrow\>a>
          <frac|f<around*|(|x|)>|g<around*|(|x|)>>=<frac|<with|math-display|true|lim<rsub|x\<rightarrow\>a>
          f<around*|(|x|)>>|<with|math-display|true|lim<rsub|x\<rightarrow\>a>
          g<around*|(|x|)>>>>> provided the limits on the right-hand-side
          exist and <math|lim<rsub|x\<rightarrow\>a>
          g<around*|(|x|)>\<neq\>0>.\ 
        </enumerate>
      </cell>>>>
    </wide-block>

    \;

    Generalize to any <strong|algebraic combination> of functions: e.g.\ 

    <\equation*>
      lim<rsub|x\<rightarrow\>a> 2*f<around*|(|x|)>+5*g<around*|(|x|)>=2*lim<rsub|x\<rightarrow\>a>
      f<around*|(|x|)>+5*lim<rsub|x\<rightarrow\>a> g<around*|(|x|)>.
    </equation*>

    Power Law: <math|lim<rsub|x\<rightarrow\>a>
    f<around*|(|x|)><rsup|n>=<around*|[|lim<rsub|x\<rightarrow\>a>
    f<around*|(|x|)>|]><rsup|n>>.\ 

    Root Law: <math|lim<rsub|x\<rightarrow\>a>
    f<around*|(|x|)><rsup|1/n>=<around*|[|lim<rsub|x\<rightarrow\>a>
    f<around*|(|x|)>|]><rsup|1/n>> (<math|n> must be odd if
    <math|lim<rsub|x\<rightarrow\>a> f<around*|(|x|)>\<less\>0>).\ 

    Two simple limits:

    <\equation*>
      lim<rsub|x\<rightarrow\>a> c=c,<space|1em>lim<rsub|x\<rightarrow\>a>
      x=a.
    </equation*>

    \;

    <\wide-block>
      <tformat|<cwith|1|1|1|1|cell-lsep|1spc>|<cwith|1|1|1|1|cell-rsep|1spc>|<cwith|1|1|1|1|cell-bsep|1spc>|<cwith|1|1|1|1|cell-tsep|1spc>|<table|<row|<\cell>
        <strong|Direct substitution property> for polynomials and rational
        functions:

        <\equation*>
          lim<rsub|x\<rightarrow\>a> P<around*|(|x|)>=P<around*|(|a|)>,<space|1em>lim<rsub|x\<rightarrow\>a>
          <frac|P<around*|(|x|)>|Q<around*|(|x|)>>=<frac|P<around*|(|a|)>|Q<around*|(|a|)>>,<text|if
          >Q<around*|(|a|)>\<neq\>0.
        </equation*>

        where <math|P,Q> are polynomials.\ 
      </cell>>>>
    </wide-block>

    \;

    <\wide-block>
      <tformat|<cwith|1|-1|1|-1|cell-lsep|1spc>|<cwith|1|-1|1|-1|cell-rsep|1spc>|<cwith|1|-1|1|-1|cell-bsep|1spc>|<cwith|1|-1|1|-1|cell-tsep|1spc>|<table|<row|<\cell>
        <\example>
          \;

          <\equation*>
            lim<rsub|x\<rightarrow\>2> <around*|(|x<rsup|3>-4x+5|)>=2<rsup|3>-4\<cdot\>2+5=5.
          </equation*>

          <\equation*>
            lim<rsub|x\<rightarrow\>1> <frac|x<rsup|2>-2x|x<rsup|5>+1>=<frac|1-2|2>=-<frac|1|2>.
          </equation*>

          <\equation*>
            lim<rsub|x\<rightarrow\>1> <frac|x<rsup|2>-2x|x<rsup|3>-1>=lim<rsub|x\<rightarrow\>1>
            <frac|x<around*|(|x-2|)>|<around*|(|x-1|)><around*|(|x<rsup|2>+x+1|)>>
            <text|<space|1em>does not exist>
          </equation*>

          In fact

          <\equation*>
            lim<rsub|x\<rightarrow\>1<rsup|->>
            <frac|x<around*|(|x-2|)>|<around*|(|x-1|)><around*|(|x<rsup|2>+x+1|)>>=\<infty\>,<space|1em>lim<rsub|x\<rightarrow\>1<rsup|+>>
            <frac|x<around*|(|x-2|)>|<around*|(|x-1|)><around*|(|x<rsup|2>+x+1|)>>=-\<infty\>
          </equation*>

          Another example:

          <\equation*>
            lim<rsub|x\<rightarrow\>1> <frac|x<rsup|2>-x|x<rsup|3>-1>=lim<rsub|x\<rightarrow\>1><frac|x<around*|(|x-1|)>|<around*|(|x-1|)><around*|(|x<rsup|2>+x+1|)>>=lim<rsub|x\<rightarrow\>1><frac|x|<around*|(|x<rsup|2>+x+1|)>>=<frac|1|3>.
          </equation*>
        </example>
      </cell>>>>
    </wide-block>

    \;

    <\wide-block>
      <tformat|<cwith|1|1|1|1|cell-lsep|1spc>|<cwith|1|1|1|1|cell-rsep|1spc>|<cwith|1|1|1|1|cell-bsep|1spc>|<cwith|1|1|1|1|cell-tsep|1spc>|<table|<row|<\cell>
        If <math|f<around|(|x|)>=g<around|(|x|)>> when <math|x\<neq\>a>, then
        <math|lim<rsub|x\<rightarrow\>a> f<around|(|x|)>=lim<rsub|x\<rightarrow\>a>
        g<around|(|x|)>>, provided the limits exist.
      </cell>>>>
    </wide-block>

    \;

    <\theorem>
      If <math|f<around*|(|x|)>\<leqslant\>g<around*|(|x|)>> when <math|x> is
      near <math|a> (not including <math|a> itself), then

      <\equation*>
        lim<rsub|x\<rightarrow\>a> f<around*|(|x|)>\<leqslant\>lim<rsub|x\<rightarrow\>a>
        g<around*|(|x|)>
      </equation*>

      provided both limits exist.\ 
    </theorem>

    \;

    <\with|theorem-text|<macro|<localize|Theorem> (The Squeeze Theorem)>>
      <\theorem*>
        If <math|f<around*|(|x|)>\<leqslant\>g<around*|(|x|)>\<leqslant\>h<around*|(|x|)>>
        when <math|x> is near <math|a> (not including <math|a> itself), and

        <\equation*>
          lim<rsub|x\<rightarrow\>a> f<around*|(|x|)>=lim<rsub|x\<rightarrow\>a>
          h<around*|(|x|)>=L,
        </equation*>

        then

        <\equation*>
          lim<rsub|x\<rightarrow\>a> g<around*|(|x|)>=L.
        </equation*>

        Note: the theorem also holds for one-sided limits.\ 
      </theorem*>
    </with>

    <\wide-centered>
      <image|<tuple|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|png>|0.3par|||>
    </wide-centered>

    <\example*>
      <\equation*>
        lim<rsub|x\<rightarrow\>0> x*sin <frac|1|x>=?
      </equation*>

      For simplicity, first consider the case <math|x\<gtr\>0>. Then

      <\equation*>
        -x\<leqslant\> x*sin <frac|1|x>\<leqslant\>x,
      </equation*>

      and

      <\equation*>
        lim<rsub|x\<rightarrow\>0<rsup|+>>-x=lim<rsub|x\<rightarrow\>0<rsup|+>>
        x=0.
      </equation*>

      By the squeeze theorem, we know

      <\equation*>
        lim<rsub|x\<rightarrow\>0<rsup|+>> x*sin <frac|1|x>=0.
      </equation*>

      Similarly, we have

      <\equation*>
        lim<rsub|x\<rightarrow\>0<rsup|->> x*sin <frac|1|x>=0.
      </equation*>

      So

      <\equation*>
        lim<rsub|x\<rightarrow\>0> x*sin <frac|1|x>=0.
      </equation*>
    </example*>

    \;

    <section|(skip)>

    <section|Continuity>

    <\definition>
      A function <math|f> is said to be <strong|continuous> at <math|a>, if

      <\equation*>
        lim<rsub|x\<rightarrow\>a> f<around*|(|x|)>=f<around*|(|a|)>.
      </equation*>

      If <math|f> is defined near <math|a> and <math|f> is not continuous at
      <math|a>, we say <math|f> is <strong|discontinuous> at <math|a>.\ 
    </definition>

    \;

    <\wide-block>
      <tformat|<cwith|1|-1|1|-1|cell-lsep|2spc>|<cwith|1|-1|1|-1|cell-rsep|2spc>|<cwith|1|-1|1|-1|cell-bsep|2spc>|<cwith|1|-1|1|-1|cell-tsep|2spc>|<table|<row|<\cell>
        <\example>
          At which numbers is <math|f> continuous?

          <image|<tuple|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|png>|0.4par|||>
        </example>
      </cell>|<\cell>
        <\itemize>
          <item><math|f> is discontinuous at <math|1> since
          <math|f<around*|(|1|)>> is undefined

          <item><math|f> is discontinuous at <math|3> since
          <math|lim<rsub|x\<rightarrow\>3> f<around*|(|x|)>> does not exist.\ 

          <item><math|f> is discontinuous at <math|5> since
          <math|lim<rsub|x\<rightarrow\>5>
          f<around*|(|x|)>\<neq\>f<around*|(|5|)>>.\ 

          <item><math|f> is continuous at other points.\ 
        </itemize>
      </cell>>>>
    </wide-block>

    \;

    <\note>
      A polynomial <math|P<around*|(|x|)>> is continuous for every
      <math|x\<in\><with|font|Bbb|R>>.\ 
    </note>

    <\example>
      Where are each of the following functions discontinuous?

      <\enumerate-alpha>
        <item><math|f<around|(|x|)>=<dfrac|x<rsup|2>-x-2|x-2>>

        <\itemize>
          <item>If <math|x\<neq\>2>, then <math|f> is continuous at <math|x.>

          <item>If <math|x=2>, then <math|f> is discontinuous at <math|x>,
          since <math|f<around*|(|2|)>> is undefined. However,\ 

          <\equation*>
            lim<rsub|x\<rightarrow\>2> f<around|(|x|)>=lim<rsub|x\<rightarrow\>2>
            <dfrac|x<rsup|2>-x-2|x-2>=lim<rsub|x\<rightarrow\>2>
            <dfrac|<around*|(|x+1|)>*<around*|(|x-2|)>|x-2>=lim<rsub|x\<rightarrow\>2>
            <around*|(|x+1|)>=3.
          </equation*>

          If we define

          <\equation*>
            <wide|f|~><around*|(|x|)>=<choice|<tformat|<table|<row|<cell|<dfrac|x<rsup|2>-x-2|x-2>,>|<cell|x\<neq\>2>>|<row|<cell|3,>|<cell|x=2>>>>>
          </equation*>

          Then <math|f> is continuous everywhere (including <math|x=2>). Thus
          this kind of discontinuity is called <strong|removable>.\ 
        </itemize>

        <item><math|f<around|(|x|)>=<around*|{|<tabular*|<tformat|<cwith|1|-1|1|1|cell-halign|l>|<cwith|1|-1|1|1|cell-lborder|0ln>|<cwith|1|-1|2|2|cell-halign|l>|<cwith|1|-1|3|3|cell-halign|l>|<cwith|1|-1|3|3|cell-rborder|0ln>|<table|<row|<cell|<dfrac|1|x<rsup|2>>>|<cell|<text|if
        >>|<cell|x\<neq\>0>>|<row|<cell|1>|<cell|<text|if
        >>|<cell|x=0>>>>>|\<nobracket\>>>,\ 

        <\equation*>
          lim<rsub|x\<rightarrow\>0> f<around*|(|x|)>=\<infty\>
        </equation*>

        So the limit does not exist, and <math|f> can not be continuous at
        <math|x=0>. This type of discontinuity is called <strong|infinite
        discontinuity>.\ 

        <item><math|f<around|(|x|)>=<around*|{|<tabular*|<tformat|<cwith|1|-1|1|1|cell-halign|l>|<cwith|1|-1|1|1|cell-lborder|0ln>|<cwith|1|-1|2|2|cell-halign|l>|<cwith|1|-1|3|3|cell-halign|l>|<cwith|1|-1|3|3|cell-rborder|0ln>|<table|<row|<cell|<dfrac|x<rsup|2>-x-2|x-2>>|<cell|<text|if
        >>|<cell|x\<neq\>2>>|<row|<cell|1>|<cell|<text|if
        >>|<cell|x=2>>>>>|\<nobracket\>>>

        Similar to part (a), <math|f> is discontinuous at <math|x=2> since\ 

        <\equation*>
          lim<rsub|x\<rightarrow\>2> f<around*|(|x|)>=3\<neq\>f<around*|(|2|)>
        </equation*>

        This is still a removable discontinuity.\ 

        <item><math|f<around*|(|x|)>=<around*|\<llbracket\>|x|\<rrbracket\>>>,
        the greatest integer smaller than or equal to <math|x>. For example

        <\equation*>
          <around*|\<llbracket\>|1.3|\<rrbracket\>>=1,<space|1em><around*|\<llbracket\>|1|\<rrbracket\>>=1,<space|1em><around*|\<llbracket\>|-2.7|\<rrbracket\>>=-3.
        </equation*>

        <math|f> is continuous everywhere except when
        <math|x\<in\>\<bbb-Z\>>: the set of all integers. The reason is

        <\equation*>
          lim<rsub|x\<rightarrow\>n<rsup|->>
          f<around*|(|x|)>=n-1,<space|1em>lim<rsub|x\<rightarrow\>n<rsup|+>>
          f<around*|(|x|)>=n<space|1em>\<Rightarrow\><space|1em>lim<rsub|x\<rightarrow\>n>
          f<around*|(|x|)>*<text|<space|1em>does not exist>
        </equation*>

        where <math|n\<in\>\<bbb-Z\>>. So there is a jump at <math|x=n>. We
        call it a <strong|jump discontinuity>.\ 
      </enumerate-alpha>

      \;

      There are other cases of discontinuity. For example

      <\equation*>
        f<around*|(|x|)>=sin <frac|1|x>
      </equation*>

      <math|f<around*|(|x|)>> has no left or right hand limit as
      <math|x\<rightarrow\>0>.\ 
    </example>

    <\definition>
      A function <math|f<around*|(|x|)>> is said to be <strong|continuous
      from the left> at <math|x=a> if

      <\equation*>
        lim<rsub|x\<rightarrow\>a<rsup|->> f<around*|(|x|)>=f<around*|(|a|)>.
      </equation*>

      Similarly we can define <strong|continuous from the right>.\ 
    </definition>

    \;

    For example, the function <math|f<around*|(|x|)>=<around*|\<llbracket\>|x|\<rrbracket\>>>
    is continuous from the right at <math|x=n\<in\>\<bbb-Z\>>.\ 

    \;

    <\definition>
      A function <math|f<around*|(|x|)>> is said to be <strong|continuous on
      an interval> <math|I> if it's continuous at every point
      <math|x\<in\>I>. Here <math|I> can be all types of intervals, such as

      <\equation*>
        <around*|(|a,b|)>,<around*|[|a,b|]>,<around*|[|a,b|)>,<around*|[|a,\<infty\>|)>,<around*|(|-\<infty\>,a|)>*<text|<space|1em>etc.>
      </equation*>
    </definition>

    \;

    <\theorem>
      If <math|f> and <math|g> are both continuous at <math|x=a>. Then

      <\equation*>
        f+g,f-g,f*g,c*f
      </equation*>

      are continuous at <math|x=a>, where <math|c> is a constant. Moreover,\ 

      <\equation*>
        <frac|f|g>
      </equation*>

      is continuous at <math|x=a> provided <math|g<around*|(|a|)>\<neq\>0>.
    </theorem>

    \;

    <\theorem>
      A polynomial <math|P<around*|(|x|)>> is continuous for all <math|x>. A
      rational function <math|P<around*|(|x|)>/Q<around*|(|x|)>> is
      continuous in its domain.\ 
    </theorem>

    \;

    \;

    <strong|Trigonometric functions>

    From the geometrical definition of <math|sin x>, we know

    <\equation*>
      lim<rsub|x\<rightarrow\>0> sin x=0=sin 0
    </equation*>

    So <math|sin x> is continuous at <math|0>. Similarly we can show
    <math|cos*x> is continuous at <math|0>.\ 

    How about any <math|a>?

    <\equation*>
      sin <around*|(|a+x|)>=<around*|(|sin a|)>*<around*|(|cos
      x|)>+<around*|(|cos a|)>*<around*|(|sin x|)>\<rightarrow\>sin
      a<space|1em><text|as><space|1em>x\<rightarrow\>0
    </equation*>

    So <math|sin x> is continuous at every <math|a>. Similarly we can show
    <math|cos x> is continuous at every <math|a>. From the quotient rule, \ 

    <\equation*>
      tan x=<frac|sin x|cos x>
    </equation*>

    is continuous in its domain, i.e. every <math|x> except
    <math|x=<frac|2*k+1|2>*\<pi\>> for <math|k\<in\>\<bbb-Z\>>.\ 

    <\question>
      What type of discontinuity does <math|tan x> have at
      \ <math|x=<frac|2*k+1|2>*\<pi\>> for <math|k\<in\>\<bbb-Z\>>?
    </question>

    Similarly, we deduce that all the trigonometric and inverse trigonometric
    functions are continuous in their domains.\ 

    \;

    Other functions: root functions, exponential functions, logarithmic
    functions are continuous at every number in the domains.\ 

    <\theorem>
      If <math|f> is continuous at <math|b> and
      <math|lim<rsub|x\<rightarrow\>a> g<around*|(|x|)>=b>, then
      <math|lim<rsub|x\<rightarrow\>a> f<around*|(|g<around*|(|x|)>|)>=f<around*|(|b|)>>,
      i.e.\ 

      <\equation*>
        lim<rsub|x\<rightarrow\>a> f<around*|(|g<around*|(|x|)>|)>=f<around*|(|lim<rsub|x\<rightarrow\>a>
        g<around*|(|x|)>|)>.
      </equation*>
    </theorem>

    \;

    <\theorem>
      If <math|g> is continuous at <math|a> and <math|f> is continuous at
      <math|g<around*|(|a|)>>, then <math|f\<circ\>g> is continuous at
      <math|a>.\ 
    </theorem>

    \;

    <\example>
      The function

      <\equation*>
        f<around*|(|x|)>=sin <around*|(|1+x<rsup|2>|)>
      </equation*>

      is continuous at every number.\ 
    </example>

    <\example>
      The function

      <\equation*>
        f<around*|(|x|)>=<frac|1+2<rsup|x>+sin x|<sqrt|1-cos x>>
      </equation*>

      is continuous everywhere except where <math|cos x=1>, i.e.
      <math|x=2*k*\<pi\>> for <math|k\<in\>\<bbb-Z\>>.\ 
    </example>

    <\render-theorem|<strong|Intermediate Value Theorem>>
      Suppose that <math|f> is continuous on the closed interval
      <math|<around|[|a,b|]>> and let <math|m> be any number between
      <math|f<around|(|a|)>> and <math|f<around|(|b|)>>, where
      <math|f<around|(|a|)>\<neq\>f<around|(|b|)>>. Then there exists a
      number <math|c> in <math|<around|(|a,b|)>> such that
      <math|f<around|(|c|)>=m>.
    </render-theorem>

    \;

    \;

    Example. Show that the equation <math|x<rsup|2>-x-1=<frac|1|x+1>> has a
    solution for <math|1\<less\>x\<less\>2>.

    <strong|Answer:> Let

    <\equation*>
      f<around*|(|x|)>=x<rsup|2>-x-1-<frac|1|x+1>
    </equation*>

    We want to find <math|x> such that <math|f<around*|(|x|)>=0>. Now

    <\equation*>
      f<around*|(|1|)>\<less\>0,<space|1em>f<around*|(|2|)>\<gtr\>0
    </equation*>

    So <math|0> is a number between <math|f<around*|(|1|)>> and
    <math|f<around*|(|2|)>>. Moreover, <math|f> is continuous in
    <math|<around*|[|1,2|]>>. \ By the intermediate value theorem, there
    exists an <math|x\<in\><around*|(|1,2|)>> such that
    <math|f<around*|(|x|)>=0>.\ 

    We can now pick the midpoint of <math|1> and <math|2>, that is
    <math|<frac|3|2>>, then

    <\equation*>
      f<around*|(|<frac|3|2>|)>=<frac|9|4>-<frac|3|2>-1-<frac|2|5>\<less\>0.
    </equation*>

    Using the Intermediate value theorem again in
    <math|<around*|[|<frac|3|2>,2|]>>, we know there exists an
    <math|x\<in\><around*|(|<frac|3|2>,2|)>> such that
    <math|f<around*|(|x|)>=0>.\ 

    \;

    Repeating this procedure, we can get more and more accurate
    approximations of the root of <math|f<around*|(|x|)>>. This is called the
    <strong|bisection method>.

    <section|Limits at Infinity; Horizontal Asymptotes>

    motivation: <math|lim<rsub|x\<rightarrow\>\<infty\>>
    <frac|x<rsup|2>-1|x<rsup|2>+1>>

    <\equation*>
      lim<rsub|x\<rightarrow\>\<infty\>> <frac|x<rsup|2>-1|x<rsup|2>+1>=lim<rsub|x\<rightarrow\>\<infty\>><frac|1-<frac|1|x<rsup|2>>|1+<frac|1|x<rsup|2>>>=<frac|1-0|1+0>=1
    </equation*>

    <\definition>
      Suppose <math|f<around*|(|x|)>> is defined for <math|x\<gtr\>a> for
      some <math|a>. Then we define

      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>> f<around*|(|x|)>=L
      </equation*>

      if <math|f<around*|(|x|)>> can be <strong|arbitrarily> close to
      <math|L> as long as <math|x> is <strong|sufficiently> large. Similarly
      we can define

      <\equation*>
        lim<rsub|x\<rightarrow\>-\<infty\>> f<around*|(|x|)>=L
      </equation*>
    </definition>

    \;

    <\definition>
      If

      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>>
        f<around*|(|x|)>=L<space|1em>or<space|1em>lim<rsub|x\<rightarrow\>-\<infty\>>
        f<around*|(|x|)>=L,
      </equation*>

      we call <math|y=L> a <strong|horizontal asymptote> of <math|f>.
    </definition>

    \;

    <\example>
      Let <math|f<around*|(|x|)>=<frac|1|x>>. Then
      <math|lim<rsub|x\<rightarrow\>\<infty\>> f<around*|(|x|)>=0>. So
      <math|y=0> is horizontal asymptote of <math|f>. Moreover,
      <math|lim<rsub|x\<rightarrow\>0<rsup|+>> f<around*|(|x|)>=\<infty\>>,
      so <math|x=0> is a vertical asymptote of <math|f>.
    </example>

    <\example>
      \ 

      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>>
        <frac|3*x<rsup|2>-x-2|5*x<rsup|2>+4*x+1>=lim<rsub|x\<rightarrow\>\<infty\>>
        <frac|3*-<frac|1|x>-<frac|2|x<rsup|2>>|5*+<frac|4|x>+<frac|1|x<rsup|2>>>=<frac|3|5>.
      </equation*>
    </example>

    <\example>
      \ 

      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>>
        <frac|<sqrt|2*x<rsup|2>+1>|3*x*-5>=lim<rsub|x\<rightarrow\>\<infty\>>
        <frac|<sqrt|2*+<frac|1|x<rsup|2>>>|3**-<frac|5|x>>=<frac|<sqrt|2>|3>
      </equation*>

      <\equation*>
        lim<rsub|x\<rightarrow\>-\<infty\>>
        <frac|<sqrt|2*x<rsup|2>+1>|3*x*-5>=lim<rsub|x\<rightarrow\>-\<infty\>>
        <frac|<frac|1|x><sqrt|2*x<rsup|2>+1>|3**-<frac|5|x>>=lim<rsub|x\<rightarrow\>-\<infty\>>
        <frac|-<sqrt|2*+<frac|1|x<rsup|2>>>|3**-<frac|5|x>>=-<frac|<sqrt|2>|3>
      </equation*>

      So we have two horizontal asymptote <math|y=<sqrt|2>/3> and
      <math|y=-<sqrt|2>/3>. Moreover

      <\equation*>
        lim<rsub|x\<rightarrow\><frac|5|3><rsup|+>>
        <frac|<sqrt|2*x<rsup|2>+1>|3*x*-5>=\<infty\>,<space|1em>lim<rsub|x\<rightarrow\><frac|5|3><rsup|->>
        <frac|<sqrt|2*x<rsup|2>+1>|3*x*-5>=-\<infty\>.
      </equation*>

      So <math|x=5/3> is a vertical asymptote.
    </example>

    <unfolded|<\question>
      <math|lim<rsub|x\<rightarrow\>\<infty\>> sin <frac|1|x>=?>
    </question>|<\answer*>
      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>> sin
        <frac|1|x>=lim<rsub|t\<rightarrow\>0<rsup|+>> sin t=sin 0=0.
      </equation*>
    </answer*>>

    <unfolded|<\question>
      <math|lim<rsub|x\<rightarrow\>\<infty\>> x*<around*|(|sin
      <frac|1|x>|)>=?>
    </question>|<\answer*>
      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>> x*<around*|(|sin
        <frac|1|x>|)>=lim<rsub|x\<rightarrow\>\<infty\>> *<frac|sin
        <frac|1|x>|<frac|1|x>>=lim<rsub|t\<rightarrow\>0<rsup|+>> <frac|sin
        t|t>=1
      </equation*>
    </answer*>>

    <\definition>
      Suppose <math|f> is defined at every <math|x\<gtr\>a> for some
      <math|a>. Then we define

      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>> f<around*|(|x|)>=\<infty\>
      </equation*>

      if <math|f<around*|(|x|)>> can be arbitrarily large as long as <math|x>
      is sufficiently large. Similarly we can define

      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>>
        f<around*|(|x|)>=-\<infty\>,<space|1em>lim<rsub|x\<rightarrow\>-\<infty\>>
        f<around*|(|x|)>=\<infty\>,<space|1em>lim<rsub|x\<rightarrow\>-\<infty\>>
        f<around*|(|x|)>=-\<infty\>
      </equation*>
    </definition>

    <\example>
      \ 

      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>>
        x<rsup|2>=\<infty\>,<space|1em>lim<rsub|x\<rightarrow\>-\<infty\>>
        x<rsup|2>=\<infty\>,<space|1em>lim<rsub|x\<rightarrow\>-\<infty\>>
        x<rsup|3>=-\<infty\>.
      </equation*>
    </example>

    <\note>
      If <math|P<around*|(|x|)>> is a polynomial, then

      <\equation*>
        lim<rsub|x\<rightarrow\>\<infty\>>
        P<around*|(|x|)>=\<pm\>\<infty\>,<space|1em>lim<rsub|x\<rightarrow\>-\<infty\>>
        P<around*|(|x|)>=\<pm\>\<infty\>.
      </equation*>
    </note>

    <\example>
      A business manager determines that the total cost of producing <math|x>
      units of a particular commodity may be modeled by the function

      <\equation*>
        C<around|(|x|)>=7.5*x+120,000
      </equation*>

      The average cost is <math|A<around|(|x|)>=<frac|C<around|(|x|)>|x>>.
      Find <math|lim<rsub|x\<rightarrow\>+\<infty\>> A<around|(|x|)>> and
      interpret your result.
    </example>

    <strong|Answer:>\ 

    <\equation*>
      lim<rsub|x\<rightarrow\>\<infty\>> <frac|7.5*x+120000|x>=7.5
    </equation*>

    <gap-wide|>

    <section|Derivatives and Rates of Change>

    tangent line, velocity, derivative, rates of change

    \;

    The slope of the secant line for a function <math|y=f<around*|(|x|)>>
    from <math|x=a> to <math|x=b> is

    <\equation*>
      m=<frac|f<around*|(|b|)>-f<around*|(|a|)>|b-a>
    </equation*>

    If <math|b\<rightarrow\>a>, then the slope approaches the slope of the
    tangent line if it exists at <math|x=a>.

    <\definition>
      If <math|f> is continuous at <math|a>, then we define

      <\equation*>
        f<rprime|'><around*|(|a|)>=lim<rsub|x\<rightarrow\>a>
        <frac|f<around*|(|x|)>-f<around*|(|a|)>|x-a>
      </equation*>

      to be the <strong|derivative> of <math|f> at <math|a>. If <math|f> has
      a derivative at <math|a>, we say <math|f> is <strong|differentiable> at
      <math|a>.
    </definition>

    \;

    \;

    Other motivations: velocity.\ 

    Suppose <math|f<around*|(|t|)>> is the displacement of an object at time
    <math|t>. Then the <strong|average velocity> from <math|t=a> to
    <math|t=b> is

    <\equation*>
      <frac|f<around*|(|b|)>-f<around*|(|a|)>|b-a>.
    </equation*>

    The <strong|instantaneous velocity> at <math|t=a> is

    <\equation*>
      v=lim<rsub|x\<rightarrow\>a> <frac|f<around*|(|x|)>-f<around*|(|a|)>|x-a>=f<rprime|'><around*|(|a|)>.
    </equation*>

    Similarly, the acceleration is the derivative of velocity:
    <math|a=v<rprime|'>=f<rprime|''>>.

    \;

    Generally speaking, <math|y=f<rprime|'><around*|(|a|)>> is the
    <strong|rate of change> of <math|y> with respect to <math|t> at <math|a>.

    \;

    <\example>
      Find where the function <math|f<around*|(|x|)>=<around*|\||x|\|>> is
      differentiable and find its derivative.

      <\wide-centered>
        <with|gr-mode|<tuple|edit|point>|gr-frame|<tuple|scale|1cm|<tuple|0.5gw|0.5gh>>|gr-geometry|<tuple|geometry|0.4par|0.6par|center>|gr-grid|<tuple|empty>|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|10|none>>|gr-edit-grid|<tuple|empty>|gr-grid-old|<tuple|cartesian|<point|0|0>|1>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|1>|gr-color|blue|gr-auto-crop|true|<graphics||<with|magnify|0.6187192033860641|arrow-end|\<gtr\>|<line|<point|-0.6976773750669972|-0.4725822239854681>|<point|3.064795878819595|-0.4280933012526935>>>|<with|magnify|0.6187192033860641|arrow-end|\<gtr\>|<line|<point|1.1962703665956091|-1.0191569120991069>|<point|1.1390705004840198|2.0505631263079476>>>|<with|magnify|0.6187192033860641|color|blue|<line|<point|-0.4561665212172813|1.1798577574234392>|<point|1.1856707656828998|-0.4503127952722712>>>|<with|magnify|0.6187192033860641|color|blue|<line|<point|1.1856707785628005|-0.4503126636979932>|<point|2.5944867105132174|1.2751885515325685>>>|<with|color|blue|<math-at|<with|color|blue|y=<around*|\||x|\|>>|<point|1.6265770454169626|1.0483157106310128>>>|<with|color|blue|<text-at|corner|<point|0.36684727099403713|-0.7703082594865909>>>|<with|color|blue|<point|1.18567|-0.450313>>>>
      </wide-centered>

      <\enumerate>
        <item>If <math|a\<gtr\>0>,

        <\equation*>
          lim<rsub|x\<rightarrow\>a> <frac|f<around*|(|x|)>-f<around*|(|a|)>|x-a>=lim<rsub|x\<rightarrow\>a>
          <frac|<around*|\||x|\|>-<around*|\||a|\|>|x-a>=lim<rsub|x\<rightarrow\>a>
          <frac|x-a|x-a>=1<space|1em>\<Rightarrow\><space|1em>f<rprime|'><around*|(|a|)>=1.
        </equation*>

        <item>If <math|a\<less\>0>,

        <\equation*>
          lim<rsub|x\<rightarrow\>a> <frac|f<around*|(|x|)>-f<around*|(|a|)>|x-a>=lim<rsub|x\<rightarrow\>a>
          <frac|<around*|\||x|\|>-<around*|\||a|\|>|x-a>=lim<rsub|x\<rightarrow\>a>
          <frac|-x+a|x-a>=-1<space|1em>\<Rightarrow\><space|1em>f<rprime|'><around*|(|a|)>=-1.
        </equation*>

        <item>If <math|a=0>,\ 

        <\equation*>
          lim<rsub|x\<rightarrow\>0> <frac|f<around*|(|x|)>-f<around*|(|0|)>|x>=lim<rsub|x\<rightarrow\>0>
          <frac|<around*|\||x|\|>|x> <text| does not
          exist><space|1em>\<Rightarrow\><space|1em>f<rprime|'><around*|(|0|)>
          <text| does not exist.>
        </equation*>
      </enumerate>
    </example>

    Other examples where the function is not differentiable.

    <\wide-centered>
      <with|gr-mode|<tuple|edit|text-at>|gr-frame|<tuple|scale|0.75cm|<tuple|0.5gw|0.5gh>>|gr-geometry|<tuple|geometry|1par|0.6par>|gr-grid|<tuple|empty>|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|10|none>>|gr-edit-grid|<tuple|empty>|gr-dash-style|11100|gr-color|red|gr-auto-crop|true|magnify|0.75|gr-grid-old|<tuple|cartesian|<point|0|0>|1>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|1>|<graphics||<spline|<point|-5.4|0.1>|<point|-4.9|-0.7>|<point|-3.3|-0.2>>|<spline|<point|-3.3|0.8>|<point|-2.1000000000000005|1.6>|<point|-1.3000000000000003|1.5>>|<point|-3.3|-0.2>|<with|point-style|round|<point|-3.3|0.8>>|<spline|<point|0.3|0.5>|<point|1.8000000000000003|2.1>|<point|2.799999999999999|0.8>|<point|3.200000000000001|-1.0>|<point|3.8999999999999995|-0.8>>|<with|dash-style|11100|color|red|<line|<point|2.9|1.6>|<point|2.8999999999999995|-1.3>>>|<with|color|red|<point|2.9|-0.0339431>>|<with|color|red|<text-at|discontinuous|<point|-4|-1.2>>>|<with|color|red|<text-at|vertical
      tangent|<point|1.8000000000000003|-1.8>>>>>
    </wide-centered>

    \;

    \;

    <\question>
      Show that if <math|f<around*|(|a|)>> is defined and

      <\equation*>
        lim<rsub|x\<rightarrow\>a> <frac|f<around*|(|x|)>-f<around*|(|a|)>|x-a>
        <text|exist>,
      </equation*>

      then <math|f> is continuous at <math|a>.
    </question>

    <\summarized-plain>
      <section|The Derivative as a Function>

      definition, graph, other notations
    <|summarized-plain>
      \;
    </summarized-plain>

    <\math>
      <\equation*>
        f<rprime|'><around*|(|a|)>=lim<rsub|x\<rightarrow\>a>
        <frac|f<around*|(|x|)>-f<around*|(|a|)>|x-a>=lim<rsub|h\<rightarrow\>0>
        <frac|f<around*|(|a+h|)>-f<around*|(|a|)>|h>
      </equation*>
    </math>

    Now for a variable <math|x>, we obtain a function

    <\equation*>
      f<rprime|'><around*|(|x|)>=lim<rsub|h\<rightarrow\>0>
      <frac|f<around*|(|x+h|)>-f<around*|(|x|)>|h>
    </equation*>

    called the <strong|derivative function> of <math|f>, or simply the
    <strong|derivative> of <math|f>.

    <\example>
      Let <math|f<around*|(|x|)>=x<rsup|2>>, find
      <math|f<rprime|'><around*|(|x|)>>.

      \;

      <strong|Answer:>

      <\equation*>
        lim<rsub|h\<rightarrow\>0> <frac|f<around*|(|x+h|)>-f<around*|(|x|)>|h>=lim<rsub|h\<rightarrow\>0>
        <frac|<around*|(|x+h|)><rsup|2>-x<rsup|2>|h>=lim<rsub|h\<rightarrow\>0>
        <frac|2*x*h+h<rsup|2>|h>=lim<rsub|h\<rightarrow\>0>
        <around*|(|2*x+h|)>=2*x
      </equation*>

      So

      <\equation*>
        f<rprime|'><around*|(|x|)>=2*x,<space|1em>x\<in\><with|font|Bbb|R>.
      </equation*>
    </example>

    <\exercise>
      What is <math|f<rprime|'><around*|(|x|)>> if
      <math|f<around*|(|x|)>=x<rsup|n>,n\<in\>\<bbb-N\>>.
    </exercise>

    <\example>
      Let <math|f<around*|(|x|)>=<around*|\||x|\|>>, find
      <math|f<rprime|'><around*|(|x|)>>.

      \;

      <strong|Answer:>

      <\equation*>
        lim<rsub|h\<rightarrow\>0> <frac|f<around*|(|x+h|)>-f<around*|(|x|)>|h>=lim<rsub|h\<rightarrow\>0>
        <frac|<around*|\||x+h|\|>-<around*|\||x|\|>|h>.
      </equation*>

      Consider three cases

      <\enumerate>
        <item><math|x\<gtr\>0>

        <\equation*>
          lim<rsub|h\<rightarrow\>0> <frac|<around*|\||x+h|\|>-<around*|\||x|\|>|h>=lim<rsub|h\<rightarrow\>0>
          <frac|x+h-x|h>=1.
        </equation*>

        <item><math|x\<less\>0>

        <\equation*>
          lim<rsub|h\<rightarrow\>0> <frac|<around*|\||x+h|\|>-<around*|\||x|\|>|h>=lim<rsub|h\<rightarrow\>0>
          <frac|-<around*|(|x+h|)>+x|h>=-1.
        </equation*>

        <item><math|x=0.>

        <\equation*>
          lim<rsub|h\<rightarrow\>0> <frac|<around*|\||x+h|\|>-<around*|\||x|\|>|h>=lim<rsub|h\<rightarrow\>0>
          <frac|<around*|\||h|\|>|h> <text|does not exist>.
        </equation*>
      </enumerate>

      So

      <\equation*>
        f<rprime|'><around*|(|x|)>=<choice|<tformat|<table|<row|<cell|1,>|<cell|x\<gtr\>0,>>|<row|<cell|-1,>|<cell|x\<less\>0,>>|<row|<cell|<text|undefined,>>|<cell|x=0.>>>>>
      </equation*>
    </example>

    Given the graph of <math|f>, we can sketch the graph of
    <math|f<rprime|'>>.

    \;

    <\example>
      \;

      \;

      <\wide-tabular>
        <tformat|<cwith|1|1|1|1|cell-halign|c>|<table|<row|<\cell>
          <with|gr-mode|<tuple|group-edit|move>|gr-frame|<tuple|scale|1cm|<tuple|0.5gw|0.5gh>>|gr-geometry|<tuple|geometry|1par|0.6par>|gr-grid|<tuple|empty>|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|1|none>>|gr-edit-grid|<tuple|empty>|gr-grid-aspect-props|<tuple|<tuple|axes|#808080>|<tuple|1|#c0c0c0>|<tuple|10|#e0e0ff>>|gr-grid-aspect|<tuple|<tuple|axes|#808080>|<tuple|1|#c0c0c0>>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|1>|gr-color|red|gr-auto-crop|true|gr-grid-old|<tuple|cartesian|<point|0|0>|1>|<graphics||<line|<point|-4|0>|<point|4.076934954087|0.0>>|<with|color|blue|<line|<point|-3.49169|0.543681>|<point|-3.49169|0.543681>|<point|-3.47114|0.348511>|<point|-3.46087|0.317695>|<point|-3.46087|0.276607>|<point|-3.41978|0.173886>|<point|-3.40951|0.122526>|<point|-3.3787|0.0608932>|<point|-3.36842|0.040349>|<point|-3.32733|-0.0212834>|<point|-3.31706|-0.0418276>|<point|-3.28625|-0.0829159>|<point|-3.28625|-0.0931879>|<point|-3.21434|-0.165092>|<point|-3.1938|-0.185637>|<point|-3.15271|-0.226725>|<point|-3.13217|-0.236997>|<point|-3.09108|-0.267813>|<point|-3.07053|-0.288357>|<point|-3.01917|-0.319174>|<point|-2.98836|-0.329446>|<point|-2.94727|-0.360262>|<point|-2.91645|-0.370534>|<point|-2.87536|-0.391078>|<point|-2.71101|-0.442438>|<point|-2.62883|-0.462983>|<point|-2.3823|-0.514343>|<point|-2.32067|-0.524615>|<point|-2.21795|-0.534887>|<point|-2.14605|-0.545159>|<point|-2.02278|-0.545159>|<point|-1.97142|-0.545159>|<point|-1.87897|-0.524615>|<point|-1.84816|-0.514343>|<point|-1.78652|-0.493799>|<point|-1.75571|-0.483527>|<point|-1.69408|-0.432166>|<point|-1.66326|-0.40135>|<point|-1.62217|-0.370534>|<point|-1.6119|-0.34999>|<point|-1.59135|-0.329446>|<point|-1.57081|-0.288357>|<point|-1.52972|-0.226725>|<point|-1.51945|-0.195909>|<point|-1.48863|-0.134276>|<point|-1.47836|-0.10346>|<point|-1.45782|-0.0520996>|<point|-1.427|0.0095328>|<point|-1.41673|0.0506211>|<point|-1.39618|0.0917094>|<point|-1.38591|0.101981>|<point|-1.36537|0.132798>|<point|-1.3551|0.14307>|<point|-1.34482|0.184158>|<point|-1.33455|0.19443>|<point|-1.31401|0.214974>|<point|-1.31401|0.235518>|<point|-1.28319|0.276607>|<point|-1.2421|0.327967>|<point|-1.21129|0.358783>|<point|-1.18047|0.3896>|<point|-1.15993|0.410144>|<point|-1.11884|0.44096>|<point|-1.09829|0.451232>|<point|-1.05721|0.461504>|<point|-1.00585|0.482048>|<point|-0.892853|0.502592>|<point|-0.841493|0.502592>|<point|-0.820949|0.502592>|<point|-0.790133|0.502592>|<point|-0.636051|0.482048>|<point|-0.584691|0.482048>|<point|-0.553875|0.461504>|<point|-0.502515|0.44096>|<point|-0.471698|0.410144>|<point|-0.410066|0.358783>|<point|-0.368978|0.317695>|<point|-0.297073|0.24579>|<point|-0.276529|0.204702>|<point|-0.235441|0.14307>|<point|-0.194352|0.0814373>|<point|-0.13272|-0.0212834>|<point|-0.101904|-0.0726438>|<point|-0.00945498|-0.185637>|<point|0.0624495|-0.257541>|<point|0.0829937|-0.288357>|<point|0.16517|-0.34999>|<point|0.216531|-0.391078>|<point|0.391156|-0.483527>|<point|0.678774|-0.586247>|<point|0.771223|-0.606792>|<point|0.873943|-0.627336>|<point|0.935576|-0.627336>|<point|1.06911|-0.627336>|<point|1.16156|-0.617064>|<point|1.2951|-0.617064>|<point|1.39782|-0.575975>|<point|1.48|-0.545159>|<point|1.63408|-0.462983>|<point|1.69571|-0.411622>|<point|1.81897|-0.278085>|<point|1.95251|-0.144548>|<point|2.00387|-0.10346>|<point|2.07578|-0.0110114>|<point|2.11686|0.0300769>|<point|2.1785|0.0917094>|<point|2.24013|0.153342>|<point|2.26067|0.173886>|<point|2.31203|0.214974>|<point|2.32231|0.235518>|<point|2.36339|0.276607>|<point|2.41475|0.307423>|<point|2.4353|0.327967>|<point|2.47639|0.369055>|<point|2.49693|0.3896>|<point|2.54829|0.420416>|<point|2.56884|0.44096>|<point|2.60992|0.49232>|<point|2.67156|0.533409>|<point|2.70237|0.574497>|<point|2.75373|0.625857>|<point|2.77428|0.656673>|<point|2.80509|0.708034>|<point|2.84618|0.759394>|<point|2.86673|0.779938>|<point|2.89754|0.831299>|<point|2.91809|0.862115>|<point|2.95917|0.923747>|<point|2.98999|0.975108>|<point|3.00026|0.995652>|<point|3.03108|1.03674>|<point|3.05162|1.06756>|<point|3.0619|1.0881>|<point|3.08244|1.12919>|<point|3.11326|1.19082>|<point|3.15434|1.25245>|<point|3.17489|1.28327>|<point|3.21598|1.3449>|<point|3.23652|1.37572>|<point|3.25706|1.41681>|<point|3.27761|1.4579>|<point|3.28788|1.47844>|<point|3.30842|1.49898>|<point|3.3187|1.51953>|<point|3.32897|1.54007>|<point|3.33924|1.55034>|<point|3.33924|1.56062>|<point|3.34951|1.58116>|<point|3.35979|1.61198>|<point|3.37006|1.62225>|<point|3.38033|1.64279>|<point|3.3906|1.65306>|<point|3.40087|1.68388>|<point|3.42142|1.70442>|<point|3.43169|1.72497>|<point|3.45223|1.75579>|<point|3.46251|1.77633>|<point|3.47278|1.81742>|<point|3.48305|1.83796>|<point|3.48305|1.84823>|<point|3.49332|1.86878>|<point|3.49332|1.87905>|<point|3.49332|1.88932>|<point|3.49332|1.89959>|<point|3.49332|1.89959>>>|<with|color|red|<point|-2|0>>|<with|color|red|<point|-0.820015|0>>|<with|color|red|<point|1|0>>|<with|color|red|<line|<point|-3.6257399999999995|-1.24038>|<point|-3.6257399999999995|-1.24038>|<point|-3.1737699999999993|-0.7884109999999999>|<point|-3.1224099999999995|-0.7473229999999997>|<point|-3.1018599999999994|-0.737051>|<point|-3.0607699999999998|-0.7062339999999999>|<point|-3.0299599999999995|-0.68569>|<point|-2.9888699999999995|-0.654874>|<point|-2.9683299999999995|-0.6446019999999997>|<point|-2.9477799999999994|-0.6343300000000001>|<point|-2.9272399999999994|-0.6137859999999998>|<point|-2.9066899999999993|-0.6035139999999998>|<point|-2.8964199999999996|-0.6035139999999998>|<point|-2.8964199999999996|-0.5932419999999999>|<point|-2.8861499999999998|-0.5932419999999999>|<point|-2.8758799999999995|-0.5829699999999999>|<point|-2.8553299999999995|-0.5726969999999999>|<point|-2.84506|-0.5624249999999998>|<point|-2.8245199999999997|-0.5418810000000001>|<point|-2.8039699999999996|-0.5316089999999998>|<point|-2.7628799999999996|-0.4905210000000001>|<point|-2.7012499999999995|-0.4391610000000002>|<point|-2.6704399999999993|-0.40834400000000004>|<point|-2.6293499999999996|-0.36725599999999997>|<point|-2.5985299999999993|-0.34671199999999996>|<point|-2.5574399999999997|-0.3158960000000001>|<point|-2.5060799999999994|-0.28507899999999997>|<point|-2.4649899999999993|-0.25426299999999996>|<point|-2.4547199999999996|-0.2439910000000001>|<point|-2.4136299999999995|-0.213175>|<point|-2.3828199999999997|-0.19263100000000005>|<point|-2.3622699999999996|-0.18235900000000002>|<point|-2.3417299999999996|-0.15154199999999998>|<point|-2.3314599999999994|-0.15154199999999998>|<point|-2.3109099999999994|-0.130998>|<point|-2.3006399999999996|-0.130998>|<point|-2.2800999999999996|-0.12072600000000012>|<point|-2.2698199999999993|-0.11045400000000001>|<point|-2.2595499999999995|-0.10018200000000006>|<point|-2.2595499999999995|-0.10018200000000006>|<point|-2.2492799999999997|-0.10018200000000006>|<point|-2.2390099999999995|-0.08991000000000003>|<point|-2.2184599999999994|-0.08991000000000003>|<point|-2.2184599999999994|-0.07963790000000001>|<point|-2.1979199999999994|-0.07963790000000001>|<point|-2.1773799999999994|-0.06936590000000005>|<point|-2.1773799999999994|-0.06936590000000005>|<point|-2.1568299999999994|-0.05909380000000007>|<point|-2.1568299999999994|-0.05909380000000007>|<point|-2.1362899999999994|-0.04882170000000002>|<point|-2.1260199999999996|-0.04882170000000002>|<point|-2.1157399999999993|-0.03854960000000005>|<point|-2.1054699999999995|-0.03854960000000005>|<point|-2.0849299999999995|-0.03854960000000005>|<point|-2.0746599999999997|-0.02827760000000004>|<point|-2.0746599999999997|-0.02827760000000004>|<point|-2.0643799999999994|-0.01800550000000002>|<point|-2.0643799999999994|-0.01800550000000002>|<point|-2.0541099999999997|-0.01800550000000002>|<point|-2.0438399999999994|-0.01800550000000002>|<point|-2.0438399999999994|-0.007733400000000022>|<point|-2.0335699999999997|-0.007733400000000022>|<point|-2.0335699999999997|-0.007733400000000022>|<point|-2.0335699999999997|-0.007733400000000022>|<point|-2.0335699999999997|-0.007733400000000022>|<point|-2.0335699999999997|-0.007733400000000022>|<point|-2.0232899999999994|0.002538599999999978>|<point|-2.0232899999999994|0.002538599999999978>>>|<with|color|red|<line|<point|-2.0933400000000004|-0.03808260000000002>|<point|-2.0933400000000004|-0.03808260000000002>|<point|-2.0111600000000003|0.023549900000000012>|<point|-2.00089|0.03382190000000002>|<point|-1.9906100000000002|0.04409400000000002>|<point|-1.9700700000000002|0.0543661>|<point|-1.9598000000000004|0.06463819999999999>|<point|-1.9392500000000008|0.07491020000000002>|<point|-1.9187100000000004|0.09545440000000002>|<point|-1.8981700000000004|0.105726>|<point|-1.8673500000000003|0.126271>|<point|-1.8468100000000003|0.13654300000000005>|<point|-1.7338100000000003|0.18790300000000001>|<point|-1.7235400000000003|0.18790300000000001>|<point|-1.7030000000000003|0.19817500000000018>|<point|-1.6824500000000002|0.19817500000000018>|<point|-1.6721800000000004|0.19817500000000018>|<point|-1.6619100000000002|0.19817500000000018>|<point|-1.6413600000000002|0.19817500000000018>|<point|-1.6310900000000004|0.2084470000000002>|<point|-1.6208200000000001|0.2084470000000002>|<point|-1.6002800000000001|0.2084470000000002>|<point|-1.5900000000000003|0.2084470000000002>|<point|-1.5591900000000003|0.2084470000000002>|<point|-1.5591900000000003|0.2084470000000002>|<point|-1.5386400000000002|0.21871900000000016>|<point|-1.5181000000000002|0.21871900000000016>|<point|-1.4975600000000002|0.21871900000000016>|<point|-1.4872800000000002|0.21871900000000016>|<point|-1.4667400000000002|0.21871900000000016>|<point|-1.44619|0.21871900000000016>|<point|-1.4359200000000003|0.21871900000000016>|<point|-1.4153800000000003|0.2084470000000002>|<point|-1.3948300000000002|0.2084470000000002>|<point|-1.3742900000000002|0.2084470000000002>|<point|-1.3537500000000002|0.2084470000000002>|<point|-1.3434700000000004|0.2084470000000002>|<point|-1.3332000000000002|0.2084470000000002>|<point|-1.3126600000000002|0.2084470000000002>|<point|-1.29211|0.19817500000000018>|<point|-1.2818400000000003|0.19817500000000018>|<point|-1.2613000000000003|0.19817500000000018>|<point|-1.2304800000000002|0.18790300000000001>|<point|-1.2099400000000002|0.18790300000000001>|<point|-1.1996700000000002|0.18790300000000001>|<point|-1.1688500000000002|0.18790300000000001>|<point|-1.1483|0.17763099999999998>|<point|-1.12776|0.17763099999999998>|<point|-1.12776|0.17763099999999998>|<point|-1.10722|0.17763099999999998>|<point|-1.09694|0.16735899999999998>|<point|-1.06613|0.15708700000000017>|<point|-1.045584|0.15708700000000017>|<point|-1.0250400000000004|0.14681500000000008>|<point|-1.0147680000000001|0.14681500000000008>|<point|-0.994224|0.13654300000000005>|<point|-0.994224|0.13654300000000005>|<point|-0.9839519999999999|0.13654300000000005>|<point|-0.9634069999999999|0.126271>|<point|-0.953135|0.126271>|<point|-0.942863|0.126271>|<point|-0.932591|0.11599900000000009>|<point|-0.901775|0.105726>|<point|-0.8915029999999999|0.105726>|<point|-0.8915029999999999|0.09545440000000002>|<point|-0.8812310000000001|0.09545440000000002>|<point|-0.8812310000000001|0.09545440000000002>|<point|-0.8709589999999999|0.08518230000000007>|<point|-0.8606869999999999|0.08518230000000007>|<point|-0.8606869999999999|0.07491020000000002>|<point|-0.8504149999999999|0.06463819999999999>|<point|-0.8401429999999999|0.06463819999999999>|<point|-0.8401429999999999|0.0543661>|<point|-0.8401429999999999|0.0543661>|<point|-0.8298709999999999|0.0543661>|<point|-0.8298709999999999|0.04409400000000002>|<point|-0.8195979999999999|0.03382190000000002>>>|<with|color|red|<line|<point|-0.8611527000000002|0.04969720000000014>|<point|-0.8611527000000002|0.04969720000000014>|<point|-0.8200637000000003|0.018880900000000138>|<point|-0.7995197000000003|-0.011935277999999872>|<point|-0.7892477000000003|-0.022207399999999877>|<point|-0.7892477000000003|-0.022207399999999877>|<point|-0.7687037000000002|-0.04275149999999987>|<point|-0.7584317000000003|-0.06329559999999987>|<point|-0.7481597000000003|-0.07356769999999989>|<point|-0.7378877000000003|-0.0838397999999999>|<point|-0.7276157000000003|-0.09411189999999989>|<point|-0.7173437000000003|-0.1146559999999999>|<point|-0.6967987000000002|-0.1351999999999999>|<point|-0.6557107000000003|-0.16601599999999989>|<point|-0.6454387000000003|-0.1865609999999999>|<point|-0.6146227000000002|-0.2071049999999999>|<point|-0.6043507000000001|-0.21737699999999993>|<point|-0.5940787000000003|-0.22764899999999985>|<point|-0.5838067000000002|-0.24819299999999989>|<point|-0.5529897000000003|-0.26873699999999984>|<point|-0.5427177000000004|-0.28928099999999984>|<point|-0.5324457000000004|-0.29955299999999985>|<point|-0.4913577000000005|-0.3509139999999999>|<point|-0.4399977000000006|-0.3920019999999998>|<point|-0.42972570000000027|-0.4125459999999999>|<point|-0.3989087000000005|-0.43308999999999986>|<point|-0.3578207000000003|-0.4639069999999998>|<point|-0.32700470000000037|-0.4844509999999998>|<point|-0.3167327000000005|-0.4947229999999998>|<point|-0.29618870000000036|-0.5049949999999999>|<point|-0.2756437000000004|-0.5152669999999998>|<point|-0.2550997000000004|-0.5358109999999998>|<point|-0.22428370000000036|-0.5460829999999999>|<point|-0.1934677000000004|-0.5666269999999999>|<point|-0.17292370000000037|-0.5871709999999999>|<point|-0.15237930000000038|-0.5974429999999998>|<point|-0.15237930000000038|-0.5974429999999998>|<point|-0.12156300000000037|-0.6077159999999999>|<point|-0.1112910000000004|-0.6179879999999998>|<point|-0.1010189000000004|-0.6179879999999998>|<point|-0.0907468000000004|-0.6179879999999998>|<point|-0.0907468000000004|-0.6179879999999998>|<point|-0.0907468000000004|-0.6179879999999998>|<point|-0.08047480000000037|-0.6179879999999998>|<point|-0.08047480000000037|-0.6282599999999998>|<point|-0.07020268000000038|-0.6282599999999998>|<point|-0.029114400000000377|-0.6282599999999998>|<point|-0.008570200000000376|-0.6282599999999998>|<point|0.04279029999999967|-0.6282599999999998>|<point|0.06333429999999966|-0.6282599999999998>|<point|0.08387829999999967|-0.6282599999999998>|<point|0.09415029999999965|-0.6282599999999998>|<point|0.12496629999999961|-0.6282599999999998>|<point|0.1557832999999997|-0.6282599999999998>|<point|0.1865992999999996|-0.6179879999999998>|<point|0.1968712999999996|-0.6179879999999998>|<point|0.21741529999999962|-0.6179879999999998>|<point|0.21741529999999962|-0.6077159999999999>|<point|0.2482312999999996|-0.5974429999999998>|<point|0.2585032999999996|-0.5974429999999998>|<point|0.2790482999999996|-0.5871709999999999>|<point|0.2995922999999996|-0.5768989999999998>|<point|0.3201362999999997|-0.5563549999999998>|<point|0.3304082999999997|-0.5460829999999999>|<point|0.3406802999999997|-0.5358109999999998>|<point|0.3612242999999995|-0.5255389999999999>|<point|0.39204029999999956|-0.5152669999999998>|<point|0.41258429999999957|-0.4947229999999998>|<point|0.4331292999999995|-0.4844509999999998>|<point|0.44340129999999955|-0.4741789999999998>|<point|0.4639452999999997|-0.45363399999999987>|<point|0.47421729999999956|-0.45363399999999987>|<point|0.4844892999999998|-0.43308999999999986>|<point|0.5050332999999997|-0.42281799999999986>|<point|0.5255772999999996|-0.4022739999999998>|<point|0.5358492999999996|-0.3920019999999998>|<point|0.5563942999999997|-0.3817299999999998>|<point|0.5769382999999997|-0.36118599999999995>|<point|0.5974822999999998|-0.3406419999999999>|<point|0.6077542999999996|-0.3303699999999999>|<point|0.6180262999999996|-0.3200969999999998>|<point|0.6385702999999997|-0.3098249999999998>|<point|0.6591142999999997|-0.29955299999999985>|<point|0.6796582999999996|-0.28928099999999984>|<point|0.7002032999999996|-0.26873699999999984>|<point|0.7310192999999997|-0.24819299999999989>|<point|0.7412912999999994|-0.23792099999999985>|<point|0.7618352999999997|-0.21737699999999993>|<point|0.7823792999999997|-0.2071049999999999>|<point|0.8029232999999997|-0.1865609999999999>|<point|0.8234672999999997|-0.15574399999999985>|<point|0.8337402999999994|-0.1454719999999999>|<point|0.8542842999999997|-0.1249279999999999>|<point|0.8748282999999997|-0.1146559999999999>|<point|0.8748282999999997|-0.10438389999999989>|<point|0.8953722999999996|-0.09411189999999989>|<point|0.9159162999999996|-0.07356769999999989>|<point|0.9364602999999996|-0.05302359999999987>|<point|0.9467322999999995|-0.04275149999999987>|<point|0.9570022999999995|-0.022207399999999877>|<point|0.9672722999999995|-0.011935277999999872>|<point|0.9775522999999996|-0.011935277999999872>|<point|0.9775522999999996|-0.0016631999999998752>|<point|0.9878222999999996|0.008608900000000131>|<point|0.9878222999999996|0.018880900000000138>|<point|0.9980922999999996|0.018880900000000138>|<point|0.9980922999999996|0.018880900000000138>|<point|0.9980922999999996|0.018880900000000138>|<point|0.9980922999999996|0.018880900000000138>|<point|0.9980922999999996|0.018880900000000138>>>|<with|color|red|<line|<point|1.0055500000000002|0.04175960000000009>|<point|1.0055500000000002|0.04175960000000009>|<point|1.0466400000000002|0.11366410000000009>|<point|1.0980000000000003|0.1752970000000001>|<point|1.1288200000000002|0.21638500000000013>|<point|1.1493600000000002|0.23692900000000008>|<point|1.1904500000000002|0.2677450000000001>|<point|1.2315400000000003|0.3088330000000001>|<point|1.2623600000000001|0.3293780000000001>|<point|1.3137200000000002|0.3807380000000001>|<point|1.3342600000000002|0.4012820000000002>|<point|1.3856200000000003|0.44237000000000004>|<point|1.4061700000000004|0.4629150000000001>|<point|1.4575300000000002|0.5142749999999999>|<point|1.4986100000000002|0.545091>|<point|1.5191600000000003|0.565635>|<point|1.5705200000000001|0.6067239999999999>|<point|1.5910600000000001|0.6272679999999999>|<point|1.6321500000000002|0.658084>|<point|1.6527000000000003|0.678628>|<point|1.6732400000000003|0.699172>|<point|1.6937800000000003|0.719716>|<point|1.7246000000000001|0.760805>|<point|1.7656900000000002|0.791621>|<point|1.7862300000000002|0.8121649999999999>|<point|1.8170500000000003|0.8429809999999999>|<point|1.8375900000000003|0.863525>|<point|1.8786800000000001|0.894342>|<point|1.8889500000000004|0.9046139999999999>|<point|1.9300400000000004|0.9354300000000001>|<point|1.99167|0.976518>|<point|2.0019500000000003|0.997062>|<point|2.0635800000000004|1.038151>|<point|2.10467|1.0586950000000002>|<point|2.1560300000000003|1.099783>|<point|2.1971200000000004|1.120323>|<point|2.2176600000000004|1.140873>|<point|2.2484800000000003|1.161413>|<point|2.2690200000000003|1.1716830000000003>|<point|2.29984|1.1922329999999999>|<point|2.3306500000000003|1.2230530000000002>|<point|2.3512000000000004|1.233323>|<point|2.3922800000000004|1.253863>|<point|2.41283|1.2641330000000002>|<point|2.4333700000000005|1.2846830000000002>|<point|2.4641900000000003|1.294953>|<point|2.4847300000000003|1.315493>|<point|2.51555|1.3257729999999999>|<point|2.5258200000000004|1.336043>|<point|2.5566400000000002|1.356583>|<point|2.5977300000000003|1.3771330000000002>|<point|2.608|1.3771330000000002>|<point|2.6285400000000005|1.387403>|<point|2.6388100000000003|1.3976730000000002>|<point|2.6593600000000004|1.407943>|<point|2.66963|1.407943>|<point|2.6799000000000004|1.4182130000000002>|<point|2.7004500000000005|1.4182130000000002>|<point|2.7004500000000005|1.428493>|<point|2.72099|1.428493>|<point|2.7415300000000005|1.4387630000000002>|<point|2.7415300000000005|1.4387630000000002>|<point|2.7518100000000003|1.4387630000000002>|<point|2.7620800000000005|1.449033>|<point|2.7620800000000005|1.449033>|<point|2.7723500000000003|1.449033>|<point|2.78262|1.449033>|<point|2.78262|1.4593030000000002>|<point|2.7929000000000004|1.4593030000000002>|<point|2.80317|1.4593030000000002>|<point|2.8134400000000004|1.4593030000000002>|<point|2.82371|1.469573>|<point|2.8442600000000002|1.469573>|<point|2.8442600000000002|1.469573>|<point|2.85453|1.4798529999999999>|<point|2.85453|1.4798529999999999>|<point|2.8648000000000002|1.4798529999999999>|<point|2.8750700000000005|1.490123>|<point|2.8750700000000005|1.490123>|<point|2.8956200000000005|1.490123>|<point|2.9058900000000003|1.490123>|<point|2.91616|1.490123>|<point|2.91616|1.490123>|<point|2.91616|1.490123>|<point|2.91616|1.5003929999999999>|<point|2.91616|1.5003929999999999>>>|<with|color|blue|<with|color|blue|<math-at|<with|color|blue|y=f<around*|(|x|)>>|<point|3.4372553440832823|1.0>>>>|<with|color|red|<with|color|red|<with|color|red|<with|color|red|<math-at|<with|color|red|y=f<rprime|'><around*|(|x|)>>|<point|1.0|1.3241468618438268>>>>>>>>
        </cell>>>>
      </wide-tabular>
    </example>

    <\render-theorem>
      Other notations for derivative
    <|render-theorem>
      For a function <math|y=f<around*|(|x|)>>, the derivative function is

      <\equation*>
        f<rprime|'><around*|(|x|)>,<space|1em>y<rprime|'>,<space|1em><frac|d*y|d*x>,<space|1em>D<rsub|x>
        f,<space|1em>D f<space|1em>
      </equation*>

      The derivative at <math|a> is

      <\equation*>
        f<rprime|'><around*|(|a|)>,<space|1em><space|1em><around*|\<nobracket\>|<frac|d*y|d*x>|\|><rsub|x=a>,<space|1em>D<rsub|x>
        f<around*|(|a|)>,<space|1em>D f<around*|(|a|)>.
      </equation*>
    </render-theorem>

    \;

    \;

    \;

    \;

    \;

    \;

    \;
  </shown>>
</body>

<\initial>
  <\collection>
    <associate|eqn-ver-sep|<macro|0fn>>
    <associate|font|math=Stix,Stix>
    <associate|font-base-size|8>
    <associate|font-family|rm>
    <associate|font-series|light>
    <associate|info-flag|minimal>
    <associate|item-vsep|<macro|0.4fn>>
    <associate|magnification|1.7>
    <associate|math-font|math-stix>
    <associate|page-bot|25mm>
    <associate|page-even|15mm>
    <associate|page-even-footer|<htab|5mm><page-the-page><htab|5mm>>
    <associate|page-even-header|>
    <associate|page-height|auto>
    <associate|page-medium|papyrus>
    <associate|page-odd|15mm>
    <associate|page-odd-footer|<htab|5mm><page-the-page><htab|5mm>>
    <associate|page-odd-header|>
    <associate|page-orientation|portrait>
    <associate|page-right|15mm>
    <associate|page-screen-margin|true>
    <associate|page-top|15mm>
    <associate|page-type|a4>
    <associate|page-width|auto>
    <associate|par-first|0tab>
    <associate|par-flexibility|1000>
    <associate|par-hyphen|professional>
    <associate|par-kerning-margin|true>
    <associate|par-par-sep|0fn>
    <associate|par-sep|0fn>
    <associate|par-ver-sep|0.3fn>
    <associate|preamble|false>
  </collection>
</initial>

<\references>
  <\collection>
    <associate|auto-1|<tuple|?|1>>
    <associate|auto-10|<tuple|4|7>>
    <associate|auto-11|<tuple|5|7>>
    <associate|auto-12|<tuple|6|10>>
    <associate|auto-13|<tuple|7|12>>
    <associate|auto-14|<tuple|8|13>>
    <associate|auto-2|<tuple|1|1>>
    <associate|auto-3|<tuple|1.1|1>>
    <associate|auto-4|<tuple|1.2|1>>
    <associate|auto-5|<tuple|2|1>>
    <associate|auto-6|<tuple|2.1|1>>
    <associate|auto-7|<tuple|2.2|3>>
    <associate|auto-8|<tuple|2.3|4>>
    <associate|auto-9|<tuple|3|5>>
  </collection>
</references>

<\auxiliary>
  <\collection>
    <\associate|toc>
      <vspace*|2fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|font-size|<quote|1.19>|Chapter
      2: Limits and Derivatives> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-1><vspace|1fn>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|1<space|2spc>The
      Tangent and Velocity Problems> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-2><vspace|0.5fn>

      <with|par-left|<quote|1tab>|1.1<space|2spc>The tangent problem (how to
      find the tangent line) <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-3>>

      <with|par-left|<quote|1tab>|1.2<space|2spc>The velocity problem (how to
      find instantaneous velocity) <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-4>>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|2<space|2spc>The
      Limit of a Function> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-5><vspace|0.5fn>

      <with|par-left|<quote|1tab>|2.1<space|2spc>Intuitive definition of a
      limit <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-6>>

      <with|par-left|<quote|1tab>|2.2<space|2spc>One-sided limits
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-7>>

      <with|par-left|<quote|1tab>|2.3<space|2spc>Infinite limits
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-8>>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|3<space|2spc>Calculating
      Limits Using the Limit Laws> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-9><vspace|0.5fn>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|4<space|2spc>(skip)>
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-10><vspace|0.5fn>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|5<space|2spc>Continuity>
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-11><vspace|0.5fn>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|6<space|2spc>Limits
      at Infinity; Horizontal Asymptotes>
      <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-12><vspace|0.5fn>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|7<space|2spc>Derivatives
      and Rates of Change> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-13><vspace|0.5fn>

      <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|8<space|2spc>The
      Derivative as a Function> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
      <no-break><pageref|auto-14><vspace|0.5fn>
    </associate>
  </collection>
</auxiliary>