Answer
$y'=x\cos x+\sin x$
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:
$...=x\cos x+(1)\sin x=x\cos x+\sin x$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
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
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