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

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

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

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

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derivative of

e^{- t^{2}}

- 2 e^{- t^{2}} t

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 2 e^{- t^{2}} t

x \to 0 lim (\frac{2 x - 2}{x})

\frac{\partial}{\partial y} (1 + x^{4} + y^{4})

y^{^{''}} + y = 2 x e^{x}

\frac{d}{d x} (ln (6 - x))

\frac{d}{d x} (\frac{( x ^{2} - 8 x + 15 )}{x ^{2} + 3 x + 2})

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