Calculus: Early Transcendentals (2nd Edition)

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

Chapter 3 - Derivatives - Review Exercises: 19

Answer

$4\times \dfrac {1}{\cos ^{2}\left( \theta ^{2}+3\theta +2\right) }\times \left( 2\theta +3\right) $

Work Step by Step

$\dfrac {d}{d\theta }\left( 4\tan \left( \theta ^{2}+3\theta +2\right) \right) =4\times \dfrac {1}{\cos ^{2}\left( \theta ^{2}+3\theta +2\right) }\times \dfrac {d}{d\theta }\left( \theta ^{2}+3\theta +2\right) = 4\times \dfrac {1}{\cos ^{2}\left( \theta ^{2}+3\theta +2\right) }\times \left( 2\theta +3\right) $
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