Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.4 Derivatives of Trigonometric Functions - 2.4 Exercises: 10

Answer

Differentiate $y=\sin \theta \cos \theta$ $y'=\cos 2\theta$

Work Step by Step

Differentiate using product and trig rules. $y' = \sin \theta ' \cos \theta + \sin \theta \cos \theta '$ $=\cos ^2 \theta - \sin ^2 \theta$ Simplify using trig identities. = $\cos 2\theta$
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