Calculus: Early Transcendentals 8th Edition

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: 1

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: $f'(x)=(x^{2})(\sin x)'+(\sin x)(x^{2})'=x^{2}\cos x+2x\sin x$
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