Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.6 The Chain Rule - Exercises Set 2.6: 31

Answer

$$\frac{dy}{dx}=\sin(\cos x)\sin x$$

Work Step by Step

$$\frac{dy}{dx}=(\cos(\cos x))'=-\sin(\cos x)\cdot(\cos x)'=-\sin(\cos x)\cdot(-\sin x)=\sin(\cos x)\sin x$$
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