Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Review - Exercises: 18

Answer

$\dfrac {\cos x}{\left( \sin ^{2}\left( cscx\right) \right) \times \sin ^{2}x}=\csc^2(cscx)cscx\ cotx$

Work Step by Step

$\dfrac {d}{dx}\left( \cot \left( cscx\right) \right) =-\dfrac {1}{\sin ^{2}cscx}\times \dfrac {d}{dx}\left( cscx\right) =\dfrac {\cos x}{\left( \sin ^{2}\left( cscx\right) \right) \times \sin ^{2}x}=\csc^2(cscx)cscx\ cotx$
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