Consider the function (a) Use a computer algebra system to graph the function and use

Chapter 3, Problem 65

(choose chapter or problem)

Graphical Reasoning Consider the function

\(f(x)=\frac{\cos ^{2} \pi x}{\sqrt{x^{2}+1}}, \quad 0<x<4\).

(a) Use a computer algebra system to graph the function and use the graph to approximate the critical numbers visually.

(b) Use a computer algebra system to find f’ and approximate the critical numbers. Are the results the same as the visual approximation in part (a)? Explain.

Text Transcription:

f(x)=cos^2 pi x/sqrt x^2+1, 0 < x < 4

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