Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.3 Differentiation Formulas - 2.3 Exercises: 30

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. $-\frac{12}{(6t-1)^2}$
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