What is the derivative of f(x)=e^{-2x^2} ?

The derivative of f(x)=e^{-2x^2} is -4e^{-2x^2}x

What is the first derivative of f(x)=e^{-2x^2} ?

The first derivative of f(x)=e^{-2x^2} is -4e^{-2x^2}x

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derivative of

f (x) = 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

\frac{d y}{d x} + 20 = 24

\frac{\partial}{\partial x} (e^{x} + 1)

\int (z) d z

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

x \to 0 lim (\frac{x - 1}{x + 1})

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