Answer
$2x\cdot e^{x^{2}}$
Work Step by Step
$\quad$
$\displaystyle \frac{d}{dx}[e^{u}]=e^{u}\cdot\frac{du}{dx}$
$u(x)=x^{2}$
$\displaystyle \frac{du}{dx}=2x$
$\displaystyle \frac{d}{dx}[e^{x^{2}}]=e^{x^{2}}\cdot 2x=2xe^{x^{2}}$
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: 8
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