Find the derivative.
-$y=4 e^{x^{2}}$
A) $8 x e^{4 x^{2}}$
B) $8 x e^{2 x}$
C) $8 x \mathrm{e}$
D) $8 x e^{x^{2}}$

Name: Find the derivative. -$y=4 e^{x^{2}}$ A) $8 x e^{4 x^{2}}$ B) $8 x e^{2 x}$ C) $8 x \mathrm{e}$ D) $8 x e^{x^{2}}$
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Question

Quizplus · Accepted Answer

The derivative of $y=4 e^{x^{2}}$ with respect to $x$ is found using the chain rule. The derivative of $e^{x^{2}}$ is $e^{x^{2}} \cdot 2x$. Therefore, the derivative of $4 e^{x^{2}}$ is $4 \cdot e^{x^{2}} \cdot 2x = 8x e^{x^{2}}$.

Find the Derivative y=4ex2y=4 e^{x^{2}}y=4ex2 A) 8xe4x28 x e^{4 x^{2}}8xe4x2 B) 8xe2x8 x e^{2 x}8xe2x

Find the Derivative $y=4 e^{x^{2}}$ A) $8 x e^{4 x^{2}}$ B) $8 x e^{2 x}$