Calculus 8th Edition

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

Chapter 6 - Inverse Functions - 6.2 Exponential Functions and Their Derivatives - 6.2 Exercises: 37

Answer

$(\sec^2\theta)e^{\tan \theta}$

Work Step by Step

$\frac{d}{d\theta}e^{\tan\theta}$ $=e^{\tan\theta}\frac{d}{d\theta}\tan\theta$ $=(\sec^2\theta)e^{\tan \theta}$
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