Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - Review - Exercises - Page 197: 13


$4x^{7}\left( 1+x\right) ^{3}\left( 2+3x\right) $

Work Step by Step

$y=\left( x^{2}+x^{3}\right) ^{4}\Rightarrow y'=4\times \left( x^{2}+x^{3}\right) ^{3}\times \dfrac {d}{dx}\left( x^{2}+x^{3}\right) =4\left( x^{2}+x^{3}\right) ^{3}\left( 2x+3x^{2}\right) =4x^{7}\left( 1+x\right) ^{3}\left( 2+3x\right) $
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