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: 18

Answer

$f'(x)=4+20\sin^{3}x\cos x$

Work Step by Step

$f(x)=4x+5sin^4x$ $f'(x)=4+5\times{4sin^{4-1}x}\times(\frac{d}{dx})(sinx)$ $f'(x)=4+20sin^{3}x\times(cosx)$ $f'(x)=4+20\sin^{3}x\cos x$
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