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Cell["\<\
This notebook is by Steven Amgott.  Please send any questions or \
comments to samgott1@swarthmore.edu.  Feel free to use and distribute this \
notebook, but keep this author information in any copy you use or distribute.\
\
\>", "SmallText"],

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Cell["Graphing a function and its approximate derivative.", "Subsection",
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Cell["\<\
The syntax in the cell below draws the graph of a trigonometric \
function and its (approximate) derivative.  The function will be called f[x], \
and the derivative df[x].  The graph of the original function will be solid, \
while that of its derivative will be dashed.  We are using an \"h\" value of \
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\
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Cell["Guessing a formula for the derivative of the function.", "Subsection",
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Cell[TextData[{
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derivative of a trigonometric function, together with our guess for the \
actual derivative.  The function will be called f[x], and the derivative \
df[x].  Our guess for the derivative will be called g[x].  The graph of g[x] \
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Cell["Derivatives of some trigonometric functions", "Section"],

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Graphing a trigonometric function and its approximate derivative.\
\
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that of its derivative will be dashed.  We are using an \"h\" value of .0001, \
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Cell["\<\
Guessing a formula for the derivative of the trigonometric \
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\>", "Subsection",
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Cell[TextData[{
  "The syntax in the cell below draws the graph of the (approximate) \
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actual derivative.  The function will be called f[x], and the derivative \
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will be solid, while that of df[x] will be dashed.  We are using an \"h\" \
value of .0001, which should give us a good enough approximation for the \
derivative.  We are trying to make the graphs coincide.  Be sure to replace \
the ",
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