Answer
$$ f'(x)=14e^{2x}+12e^{4x}.$$
Work Step by Step
Since
$$ f(x)=7e^{2x}+3e^{4x}$$
then the derivative $ f'(x)$ is given by
$$ f'(x)=14e^{2x}+12e^{4x}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 327: 19
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