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: 29

Answer

$\frac{10}{(3-4x)^2}$

Work Step by Step

$g(x)=\frac{1+2x}{3-4x}$ Use the quotient rule. $g'(x)=\frac{(3-4x)(2)-(1+2x)(-4)}{(3-4x)^2}$ Distribute. $g'(x)=\frac{6-8x+4+8x}{(3-4x)^2}$ Combine like terms. $\frac{10}{(3-4x)^2}$
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