What is the derivative of e^{(x^2}) ?

The derivative of e^{(x^2}) is e^{x^2}*2x

What is the first derivative of e^{(x^2}) ?

The first derivative of e^{(x^2}) is e^{x^2}*2x

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\frac{d}{d x} (e^{(x^{2})})

e^{x^{2}} \cdot 2 x

Solution steps

\frac{d}{d x} (e^{(x^{2})})

Apply the chain rule:

e^{x^{2}} \frac{d}{d x} (x^{2})

= e^{x^{2}} \frac{d}{d x} (x^{2})

\frac{d}{d x} (x^{2}) = 2 x

= e^{x^{2}} \cdot 2 x

\int \frac{x + 4}{x ^{2} + 8 x} d x

x y^{^{'}} + y = 2 x

x \to - \infty lim (x e^{x})

x \to 0 lim (\frac{3}{1 + e ^{\frac{1}{x}}})

\int \frac{x ^{2}}{9 - x ^{2}} d x

What is the derivative of e^{(x^2}) ?
The derivative of e^{(x^2}) is e^{x^2}*2x
What is the first derivative of e^{(x^2}) ?
The first derivative of e^{(x^2}) is e^{x^2}*2x