Answer
$20\sin x(cos^{-5}x)$
Work Step by Step
With $u=\cos x$ and $y=5u^{-4}$:
$\frac{dy}{dx}=\frac{dy}{du}\cdot\frac{du}{dx}=5\times-4\times u^{-5}\times-\sin x= 20\sin x(cos^{-5}x)$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 3: Derivatives - Section 3.6 - The Chain Rule - Exercises 3.6 - Page 148: 18
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