What is the derivative of e^{(3x^2/2}) ?

The derivative of e^{(3x^2/2}) is e^{(3x^2)/2}*3x

What is the first derivative of e^{(3x^2/2}) ?

The first derivative of e^{(3x^2/2}) is e^{(3x^2)/2}*3x

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\frac{d}{d x} (e^{\frac{3 x ^{2}}{2}})

e^{\frac{3 x ^{2}}{2}} \cdot 3 x

Solution steps

\frac{d}{d x} (e^{\frac{3 x ^{2}}{2}})

Apply the chain rule:

e^{\frac{3 x ^{2}}{2}} \frac{d}{d x} (\frac{3 x ^{2}}{2})

= e^{\frac{3 x ^{2}}{2}} \frac{d}{d x} (\frac{3 x ^{2}}{2})

\frac{d}{d x} (\frac{3 x ^{2}}{2}) = 3 x

= e^{\frac{3 x ^{2}}{2}} \cdot 3 x

\frac{\partial}{\partial x} (\frac{m c T}{wp ( m , T , w , x )})

\int_{0}^{π} π^{25} sin^{2} (x) d x

\int 1 d θ

\int_{0}^{9} 1 + x d x

n = 1 \sum \infty arctan (n^{2})

What is the derivative of e^{(3x^2/2}) ?
The derivative of e^{(3x^2/2}) is e^{(3x^2)/2}*3x
What is the first derivative of e^{(3x^2/2}) ?
The first derivative of e^{(3x^2/2}) is e^{(3x^2)/2}*3x