Calculus: Early Transcendentals (2nd Edition)

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

Chapter 3 - Derivatives - Review Exercises: 27

Answer

$\ln ^{2}x+2\ln x$

Work Step by Step

$\dfrac {d}{dx}\left( x\ln ^{2}x\right) =\left( \dfrac {d}{dx}\left( x\right) \right) \times \ln ^{2}x+\left( \dfrac {d}{dx}\left( \ln ^{2}x\right) \right) \times x=\ln ^{2}x+2\ln x\times \left( \dfrac {d}{dx}\left( \ln x\right) \right) \times x=\ln ^{2}x+2\ln x\times \dfrac {1}{x}\times x=\ln ^{2}x+2\ln x$
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