Answer
$$\frac{dy}{dx}=\sin(\cos x)\sin x$$
Work Step by Step
$$\frac{dy}{dx}=(\cos(\cos x))'=-\sin(\cos x)\cdot(\cos x)'=-\sin(\cos x)\cdot(-\sin x)=\sin(\cos x)\sin x$$
Calculus, 10th Edition (Anton)
by Anton, Howard
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 - Page 158: 31
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