Answer
$$ G'(s) =\frac{2\ln s}{s}.$$
Work Step by Step
Recall that $(\ln x)'=\dfrac{1}{x}$
Since $ G(s)=(\ln(s))^2$, then the derivative, using the chain rule, is given by
$$ G'(s)=2(\ln(s))(\ln s)'=\frac{2\ln s}{s}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - Chapter Review Exercises - Page 386: 17
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