Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Review - Exercises: 12

Answer

$\dfrac {4\arcsin 2x}{\sqrt {1-4x^{2}}}$

Work Step by Step

$\dfrac {d}{dx}\left( \arcsin 2x\right) ^{2}=2\arcsin 2x\times \left( \dfrac {d}{dx}\left( \arcsin 2x\right) \right) =\dfrac {2\arcsin 2x}{\sqrt {1-\left( 2x\right) ^{2}}}\times \dfrac {d}{dx}\left( 2x\right) =\dfrac {4\arcsin 2x}{\sqrt {1-4x^{2}}}$
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