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

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

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

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

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derivative of

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

- 2 k e^{- k x^{2}} x

Solution steps

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

Apply the chain rule:

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

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

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

= e^{- k x^{2}} (- 2 k x)

Simplify

= - 2 k e^{- k x^{2}} x

1 + x^{2}

\frac{d}{d x} (e^{x^{5} + 3 x})

x^{3} - 8 x^{2}

\frac{d}{d u} (\frac{( 2 u ^{3} + 7 ) ( 3 u ^{2} - 5 )}{u ^{2} + 1})

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

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