Answer
$-\frac{12}{(6t-1)^2}$
Work Step by Step
$h(t)=\frac{6t+1}{6t-1}$
Use the quotient rule.
$h'(t)=\frac{(6t-1)(6)-(6t+1)(6)}{(6t-1)^2}$
Distribute.
$\frac{36t-6-36t-6}{(6t-1)^2}$
Combine like terms.
$-\frac{12}{(6t-1)^2}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - 2.3 Differentiation Formulas - 2.3 Exercises - Page 140: 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.
