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 - Page 212: 40


$\theta = \frac{\pi}{3}+\pi n, \frac{2 \pi}{3}+\pi n $ are the critical numbers.

Work Step by Step

Find the critical numbers of $g(\theta) = 4\theta -\tan \theta$ Differentiate and set the derivative $=0$ $g'(\theta) = 4-\sec ^2 \theta$ $\sec ^2 \theta = 4$ $\sec \theta = \pm 2$ $\theta = \frac{\pi}{3}+\pi n, \frac{2 \pi}{3}+\pi n $ are the critical numbers.
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