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

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

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

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

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derivative of

y = 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{x ^{63} - 1}{x - 1}

\frac{d}{d x} (\frac{3}{3 x + 1})

x \to \infty lim (\frac{1}{e})

y = e^{x^{3}}

\frac{\partial}{\partial x} (arcsin (x y))

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