Answer
$f'(x)=-20\sin x\cos^{4}x$
Work Step by Step
$f(x)=4cos^5x$
$f'(x)=4\times{5cos^{5-1}x}\times(\frac{d}{dx})(cosx)$
$f'(x)=20cos^{4}x\times(-sinx)$
$f'(x)=-20\sin x\cos^{4}x$
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: 17
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