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

The derivative of y=e^{-x^2} is -2e^{-x^2}x

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

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

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derivative of

y = 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

f (x) = x^{2} - 8, at x = 3

\int 1 + 4 x^{2} (8 x) d x

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

\frac{d}{d x} ((3 x^{2} + 1)^{2})

\int x (sec (2 y) + 2) d x

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