What is the derivative of e^{ax^2} ?

The derivative of e^{ax^2} is e^{ax^2}*2ax

What is the first derivative of e^{ax^2} ?

The first derivative of e^{ax^2} is e^{ax^2}*2ax

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int_{0}^{9} π y^{2} d y

\frac{\partial}{\partial x} (x + \frac{1}{y})

\frac{( y ^{4} - x ^{2} ) d y}{d x} = - x y

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\int sin (x) \cdot e^{c o s (x)} d x

What is the derivative of e^{ax^2} ?
The derivative of e^{ax^2} is e^{ax^2}*2ax
What is the first derivative of e^{ax^2} ?
The first derivative of e^{ax^2} is e^{ax^2}*2ax