Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Review - Exercises: 26

Answer

$\dfrac {\cos \sqrt {x}}{4\sqrt {x\sin \sqrt {x}}}$

Work Step by Step

$\dfrac {d}{dx}\sqrt {\sin \sqrt {x}}=\dfrac {1}{2\sqrt {\sin \sqrt {x}}}\times \left( \dfrac {d}{dx}\left( \sin \sqrt {x}\right) \right) =\dfrac {\cos \sqrt {x}}{2\sqrt {\sin \sqrt {x}}}\times \left( \dfrac {d}{dx}\sqrt {x}\right) =\dfrac {\cos \sqrt {x}}{4\sqrt {x\sin \sqrt {x}}}$
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