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: 10


$j'(x)=7(1.3^x)* ln1.3-e^x$

Work Step by Step

We solve this problem by simplifying the problem to $10(1.05095)^x$ then we implement the number raised to a variable rule: $\frac{d}{dx}(a^x)=ln (a) * a^x$. and since $f(x) = e^x $ and $f '(x) = e^x$ are equal, $e^x$ stays the same.
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