Answer
$e^{x+3}$
Work Step by Step
$\quad$
$\displaystyle \frac{d}{dx}[e^{u}]=e^{u}\cdot\frac{du}{dx}$
$u(x)=x+3$
$\displaystyle \frac{du}{dx}=1$
$\displaystyle \frac{d}{dx}[e^{x+3}]=e^{x+3}\cdot 1=e^{x+3}$
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: 7
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