Calculus 8th Edition

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

Chapter 2 - Derivatives - Review - Exercises: 21

Answer

$-\dfrac {1}{2\sqrt {1-x}\times \left( \cos ^{2}\sqrt {1-x}\right) }$

Work Step by Step

$y=\tan \sqrt {1-x}\Rightarrow y'=\dfrac {1}{\cos ^{2}\left( \sqrt {1-x}\right) }\times \left( \dfrac {d}{dx}\sqrt {1-x}\right) =-\dfrac {1}{2\sqrt {1-x}\times \left( \cos ^{2}\sqrt {1-x}\right) }$
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