Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 3 - Determining Change: Derivatives - 3.2 Activities - Page 209: 17

Answer

$g'(x)=\frac{6}{x}-13$ $cos$ $x$

Work Step by Step

We solve this problem by implementing two rules for derivatives, first the rule for natural log functions $\frac{d}{dx}(ln$$ x)=\frac{1}{x}$. Then we implement the rule for trigonometry functions $\frac{d}{dx}(sin$ $x)$ $=$ $cos$ $x$.
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