Answer
$f'(x)=x^{2}\cos x+2x\sin x$
Work Step by Step
$f(x)=x^{2}\sin x$
Differentiate using the product rule:
$f'(x)=(x^{2})(\sin x)'+(\sin x)(x^{2})'=x^{2}\cos x+2x\sin x$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 3 - Section 3.3 - Derivatives of Trigonometric Functions - 3.3 Exercises - Page 196: 1
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