Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - Review Exercises: 18

Answer

$5+3\sin ^{2}x\cos x+3x^{2} \cos x^3 $

Work Step by Step

$\dfrac {d}{dx}\left( 5x+\sin ^{3}x+\sin x^{3}\right) =\dfrac {d}{dx}\left( 5x\right) +\dfrac {d}{dx}\left( \sin ^{3}x\right) +\dfrac {d}{dx}\left( \sin x^{3}\right) =5+3\sin ^{2}x\cos x+\cos x^3\times 3x^{2}$
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