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

The derivative of e^{-2x^2} is -4e^{-2x^2}x

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

The first derivative of e^{-2x^2} is -4e^{-2x^2}x

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derivative of

e^{- 2 x^{2}}

- 4 e^{- 2 x^{2}} x

Solution steps

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

Apply the chain rule:

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

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

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

= e^{- 2 x^{2}} (- 4 x)

Simplify

= - 4 e^{- 2 x^{2}} x

(2.3) (2.8)

\int e^{2 t - e^{2 t}} d t

\frac{d}{d x} (\frac{x}{100})

\int \frac{5}{2 x + 3} d x

f (x) = - x^{3} + 2 x^{2} - 2, at x = - 1

What is the derivative of e^{-2x^2} ?
The derivative of e^{-2x^2} is -4e^{-2x^2}x
What is the first derivative of e^{-2x^2} ?
The first derivative of e^{-2x^2} is -4e^{-2x^2}x