Answer
$5^{x}\ln 5$
Work Step by Step
$\quad$
$\displaystyle \frac{d}{dx}[b^{x}]=b^{x}\ln b$
$b=5$
$\displaystyle \frac{d}{dx}[5^{x}]=5^{x}\ln 5$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 11 - Section 11.5 - Derivatives of Logarithmic and Exponential Functions - Exercises - Page 842: 12
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