Calculus: Early Transcendentals (2nd Edition)

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

Chapter 3 - Derivatives - 3.5 Derivatives of Trigonometric Functions - 3.5 Exercises - Page 169: 21


$y'=x\cos x+\sin x$

Work Step by Step

$y=x\sin x$ Start the differentiation process by using the product rule: $y'=(x)(\sin x)'+(\sin x)(x)'=...$ Evaluate the indicated derivatives and simplify: $...=x\cos x+(1)\sin x=x\cos x+\sin x$
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