Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 3 - Section 3.4 - The Chain Rule - 3.4 Exercises - Page 206: 35

Answer

$G'(x)=-\dfrac{C(\ln4)4^{C/x}}{x^{2}}$

Work Step by Step

$G(x)=4^{C/x}$ (Here, $C$ is a constant) Differentiate using the chain rule: $G'(x)=4^{C/x}(\ln4)(\dfrac{C}{x})'=...$ Rewrite $\dfrac{C}{x}$ as $Cx^{-1}$ and continue with the differentiation process: $...=4^{C/x}(\ln4)(\dfrac{C}{x})'=4^{C/x}(\ln4)(Cx^{-1})'=4^{C/x}(\ln4)(-Cx^{-2})$ $G'(x)=-\dfrac{C(\ln4)4^{C/x}}{x^{2}}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.