Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - 3.1 Maximum and Minimum Values - 3.1 Execises: 21

Answer

By use the graph of $f(x) = sinx, -\frac{\pi}{2} \lt x \leq \frac{\pi}{2}$ to find the absolute and local maximum and minimum values of f. The sketch of the graph of f'in the interval $[-\frac{\pi}{2}, \frac{\pi}{2}]$ is shown below:
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Work Step by Step

From the graph, observe that the absolute minimum of f is, $f(-\frac{\pi }{2})= -1$ And the absolute maximum of f is, $f(\frac{\pi }{2})= 1$
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