Answer
$t+2t\ln t$
Work Step by Step
Using product rule, the derivative of $t^2$ is $2t$ and the derivative of $\ln t$ is $\frac{1}{t}$, so the derivative of the whole thing is $\frac{1}{t}*t^2+2t*\ln t$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - Review - Exercises - Page 505: 21
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