Answer
$f'(x) = \frac{6x+2}{x(3x + 2)}$
Work Step by Step
$f(x) = \ln(3x^{2} +2x)$
$f'(x) = \frac{1}{(3x^{2} +2x)}(6x + 2)$
$f'(x) = \frac{6x+2}{3x^{2} +2x}$
$f'(x) = \frac{6x+2}{x(3x + 2)}$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - Review Exercises - Page 393: 8
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