Answer
$x^2(1+3\ln x)$
Work Step by Step
$\frac{d}{dx}x^3\ln x$
$=x^3\frac{d}{dx}\ln x+\ln x\frac{d}{dx}x^3$
$=x^3*\frac{1}{x}+\ln x*3x^2$
$=x^2+3x^2\ln x$
$=x^2(1+3\ln x)$
Calculus 8th Edition
by Stewart, James
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 - Page 446: 17
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