Answer
$\frac{6}{u}(ln10)(10^{lnu})(1+10^{lnu})^{5}$
Work Step by Step
$\frac{d}{du}G(u)=\frac{d}{dx}(1+10^{lnu})^{6}$
$=6(1+10^{lnu})^{5}(10^{lnu})ln10\frac{d}{dx}lnu$
Hence, $G'(u)=\frac{6}{u}(ln10)(10^{lnu})(1+10^{lnu})^{5}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.4* General Logarithmic and Exponential Functions - 6.4* Exercise - Page 464: 30
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
