Calculus 8th Edition

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

Chapter 2 - Derivatives - Review - Exercises: 35

Answer

$\dfrac {2\cos \theta \times\tan \left( \sin \theta \right) }{\cos ^{2}\left( \sin \theta \right) }$

Work Step by Step

$\dfrac {d}{d\theta }\left( \tan ^{2}\left( \sin \theta \right) \right) =2\tan \left( \sin \theta \right) \times \left( \dfrac {d}{d\theta }\tan \left( \sin \theta \right) \right) =\dfrac {2\tan \left( \sin \theta \right) }{\cos ^{2}\left( \sin \theta \right) }\times \left( \dfrac {d}{d\theta }\left( \sin \theta \right) \right) =\dfrac {2\cos \theta \times\tan \left( \sin \theta \right) }{\cos ^{2}\left( \sin \theta \right) }$
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