Solved: In Exercises 5156, (a) use a computer algebra system to differentiate the
Chapter 3, Problem 53(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 \(f^{\prime}\).
\(f(t)=t^{2} \sin t, \quad[0,2 \pi]$\)
Text Transcription:
f’
f(t)=t^2 sin t, [0,2 pi]
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