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(a)
\The function is
.
Differentiate on each side with respect to
.
Chain rule of derivatives:
.
.
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Graph:
\Graph the function and derivative function with graphing utility.
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(b) Graph the obtained derivative function
.
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Therefore the derivative graph results in part (a) and (b) are similar.
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(a)
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(b) Graph of the function and derivative function.
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