Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Section 3.6 - Derivatives of Logarithmic Functions - 3.6 Exercises - Page 223: 32



Work Step by Step

$f(x)=\cos \left(\ln (x^{2})\right)\\ f^{\prime}(x)=-\sin \left(\ln (x^{2})\right) \times \frac{1}{x^{2}} \times 2 x\\ f^{\prime}(x)=-\frac{2 \sin \left(\ln (x^{2})\right)}{x}\\ f^{\prime}(1)=-\frac{2 \sin \left(\ln (1^{2})\right)}{1}\\ f^{\prime}(1)=0$
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