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 - 3.4 Activities - Page 223: 5


inside: $g(x)=0.7x$ outside: $f(g)= 17e^g+\pi$ derivative: $f'(x)=17e^{0.7x}*(0.7)$

Work Step by Step

Use the chain rule to take the derivative $\frac{d}{dx}f(g(x))=f'(g(x))g'(x)$ To find the inside, you take the number inside the parenthesis. To find the outside, you exchange the parenthesis to a variable. Then take its derivative and put it together.
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