Answer
$\frac{1}{x}$
Work Step by Step
Let $y= \ln(35 x)$ and substitute $t=35x$.
Then, $y=\ln t$.
According to the chain rule, we have
$\frac{dy}{dx}=\frac{dy}{dt}\cdot\frac{dt}{dx}=\frac{1}{t}\cdot35= \frac{1}{35x}\cdot35$
$=\frac{1}{x}$
Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition
by LaTorre, Donald R.; Kenelly, John W.; Reed, Iris B.; Carpenter, Laurel R.; Harris, Cynthia R.
Published by
Brooks Cole
ISBN 10:
1-43904-957-2
ISBN 13:
978-1-43904-957-0
Chapter 3 - Determining Change: Derivatives - 3.4 Activities - Page 224: 17
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.
