What is the derivative of e^{-3x^2} ?

The derivative of e^{-3x^2} is -6e^{-3x^2}x

What is the first derivative of e^{-3x^2} ?

The first derivative of e^{-3x^2} is -6e^{-3x^2}x

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derivative of

e^{- 3 x^{2}}

- 6 e^{- 3 x^{2}} x

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 3 x^{2}) = - 6 x

= e^{- 3 x^{2}} (- 6 x)

Simplify

= - 6 e^{- 3 x^{2}} x

\frac{- s}{7 s ^{2} + 26 s + 25}

\int \frac{x - 3}{x + 1} d x

\frac{d}{d x} (7 x + 3)

x^{- \frac{1}{2}}

n \to \infty lim (\frac{3 n ^{0.4 + 1} + 7 n}{3 n ^{0.4} + 7 n})

What is the derivative of e^{-3x^2} ?
The derivative of e^{-3x^2} is -6e^{-3x^2}x
What is the first derivative of e^{-3x^2} ?
The first derivative of e^{-3x^2} is -6e^{-3x^2}x