Calculus (3rd Edition)

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

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 $$ G'(s)=2(\ln(s))(\ln s)'=\frac{2\ln s}{s}.$$
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