Answer
$y'=e^{\tan\theta}\sec^{2}\theta$
Work Step by Step
$y=e^{\tan\theta}$
Differentiate using the chain rule:
$y'=(e^{\tan\theta})(\tan\theta)'=e^{\tan\theta}\sec^{2}\theta$
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 3.4 - The Chain Rule - 3.4 Exercises - Page 204: 23
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