Answer
$f'(x)=4+20\sin^{3}x\cos x$
Work Step by Step
$f(x)=4x+5sin^4x$
$f'(x)=4+5\times{4sin^{4-1}x}\times(\frac{d}{dx})(sinx)$
$f'(x)=4+20sin^{3}x\times(cosx)$
$f'(x)=4+20\sin^{3}x\cos x$
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: 18
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