Answer
$y'' = 2[(\cos x)^{2} - (\sin x)^{2}]$
Work Step by Step
$y = (\sin x)^{2} $
$y' = 2(\sin x)(\cos x)$
$y'' = [2(\cos x)] (\cos x) + [2(\sin x)](-\sin x)$
$y'' = 2(\cos x)^{2} - 2(\sin x)^{2}$
$y'' = 2[(\cos x)^{2} - (\sin x)^{2}]$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 2 - Differentiation - Review Exercises - Page 158: 74
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
