Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Review - Exercises: 17

Answer

$\dfrac {1}{2\left( 1+x^{2}\right) \sqrt {\arctan x}}$

Work Step by Step

$\dfrac {d}{dx}\sqrt {\arctan x}=\dfrac {1}{2}\dfrac {1}{\sqrt {\arctan x}}\times \left( \dfrac {d}{dx}\left( \arctan x\right) \right) =\dfrac {1}{2\left( 1+x^{2}\right) \sqrt {\arctan x}}$
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