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

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

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

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

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derivative of

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

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

\int_{2}^{4} \frac{x ( 2 x - 3 )}{6} d x

f (x) = lo g_{10} (x^{8} + 9)

e^{s i n (x)}

\frac{d}{d y} (\frac{y ^{3} - 8}{y ^{3} + 8})

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