In Exercises 5156, (a) use a computer algebra system to differentiate the function, (b)
Chapter 3, Problem 51(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 \(f^{\prime}\).
\(f(x)=2 x \sqrt{9-x^{2}}\), [-3, 3]
Text Transcription:
f’
f(x)=2x sqrt 9-x^2
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