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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

9 x - 3 y = 18

2 x sin (x)

f (x) = t^{2} ln (e^{2 t} + 1)

(2, - 2)

2 x + 4 y = 7

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