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.
$\frac{10}{(3-4x)^2}$
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: 29
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