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

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

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

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

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derivative of

e^{- y^{2}}

- 2 e^{- y^{2}} y

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 2 e^{- y^{2}} y

\int + 3 x^{3} e^{- x^{2}} d x

\int (8) d x

\int_{0}^{π} \int 1 d x d y

x \to \infty lim (x^{- 5})

\frac{d}{d x} (\frac{768}{x} - 1)

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