Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - Review Exercises - Page 233: 20


$-15(\cos {3}x)\times(\csc^{6}3x)$

Work Step by Step

$\dfrac {d}{dx}\left( csc^53x\right) =\dfrac {d}{dx}\left( \sin {3}x\right) ^{-5}=-5\times \left( \sin {3}x\right) ^{-6}\times \left( \cos 3x\right) \times 3=-15(\cos {3}x)\times(csc^{6}3x)$
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