Calculus 8th Edition

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

Chapter 6 - Inverse Functions - 6.2* The Natural Logarithmic Functions - 6.2* Exercises: 18

Answer

$\ln x$

Work Step by Step

$\frac{d}{dx}(x\ln x-x)$ $=x\frac{d}{dx}\ln x+\ln x\frac{d}{dx}x-1$ $=x*\frac{1}{x}+\ln x*1-1$ $=1+\ln x-1$ $=\ln x$
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