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 - Review Activities - Page 246: 4

Answer

$$f'\left( t \right) = 1.3\left( {{2^t}\ln 2} \right)$$

Work Step by Step

$$\eqalign{ & f\left( t \right) = 1.3\left( {{2^t}} \right) \cr & {\text{Calculate the derivative of the function}} \cr & f'\left( t \right) = \frac{d}{{dt}}\left( {1.3\left( {{2^t}} \right)} \right) \cr & f'\left( t \right) = 1.3\frac{d}{{dt}}\left( {{2^t}} \right) \cr & {\text{Compute derivatives}}{\text{, use the rule }}\frac{d}{{dt}}\left( {{a^t}} \right) = {a^t}\ln a \cr & f'\left( t \right) = 1.3\left( {{2^t}\ln 2} \right) \cr} $$
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