What is the derivative of y=e^{-7x^2} ?

The derivative of y=e^{-7x^2} is -14e^{-7x^2}x

What is the first derivative of y=e^{-7x^2} ?

The first derivative of y=e^{-7x^2} is -14e^{-7x^2}x

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derivative of

y = e^{- 7 x^{2}}

- 14 e^{- 7 x^{2}} x

Solution steps

\frac{d}{d x} (e^{- 7 x^{2}})

Apply the chain rule:

e^{- 7 x^{2}} \frac{d}{d x} (- 7 x^{2})

= e^{- 7 x^{2}} \frac{d}{d x} (- 7 x^{2})

\frac{d}{d x} (- 7 x^{2}) = - 14 x

= e^{- 7 x^{2}} (- 14 x)

Simplify

= - 14 e^{- 7 x^{2}} x

1 0^{x}

\int_{0}^{π} e^{- s t} sin (t) d t

\frac{d}{d x} (\frac{cos ( x )}{2 + sin ( x )})

\frac{d y}{d x} = e^{4 x + 2 y}

\int ((x^{2} + 7)^{2021}) x d x

What is the derivative of y=e^{-7x^2} ?
The derivative of y=e^{-7x^2} is -14e^{-7x^2}x
What is the first derivative of y=e^{-7x^2} ?
The first derivative of y=e^{-7x^2} is -14e^{-7x^2}x