Answer
$\displaystyle \frac{3}{x}$
Work Step by Step
$v(x)=\displaystyle \ln x,\qquad v^{\prime}(x)=\frac{1}{x}$
$f(x)=3v(x),$ so by the Constant Multiple Rule,
$f^{\prime}(x)=3v^{\prime}(x)=3\displaystyle \cdot\frac{1}{x}=\frac{3}{x}$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 11 - Section 11.5 - Derivatives of Logarithmic and Exponential Functions - Exercises - Page 842: 16
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