What is $\frac{d}{dx}\left(e^{x^{2}}\right)$ ?

e^{x^{2}}

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- 2 x e^{x^{2}}

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2 x e^{x^{2}}

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4 x e^{x^{2}}

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Use the chain rule: differentiate the outer function, then multiply by the derivative of what is inside it.
$\frac{d}{dx}\left(e^{x^{2}}\right) = 2 x e^{x^{2}}$ .

Worth noting

$e^{x^{2}}$ differentiates the outside only and drops the inside's derivative.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

What is ddx(ex2)\frac{d}{dx}\left(e^{x^{2}}\right)dxd​(ex2)?