Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Review - Exercises: 28

Answer

$\left( \cos x\right) ^x\left( \ln \cos x-x\tan x\right) $

Work Step by Step

$\dfrac {d}{dx}\left( \left( \cos x\right) ^x\right) =x\times \left( \cos x\right) ^{x-1}\times \left( \dfrac {d}{dx}\left( \cos x\right) \right) +\left( \cos x\right) ^x\ln \cos x=\left( \cos x\right) ^x\left( \ln \cos x-x\tan x\right) $
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