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: 17

Answer

$f'(x)=-20\sin x\cos^{4}x$

Work Step by Step

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