Answer: In Exercises 5156, (a) use a computer algebra system to differentiate the

Chapter 3, Problem 55

(choose chapter or problem)

In Exercises 51-56, (a) use a computer algebra system to differentiate the function, (b) sketch the graphs of f and \(f^{\prime}\) on the same set of coordinate axes over the given interval, (c) find the critical numbers of f in the open interval, and (d) find the interval(s) on which \(f^{\prime}\) is positive and the interval(s) on which it is negative. Compare the behavior of f and the sign of \(f^{\prime}\).

\(f(x)=-3 \sin \frac{x}{3}\),   \([0,6 \pi]\)

Text Transcription:

f’

f(x)=-3 sin x/3

[0,6 pi]

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