What is (d^2)/(dx^2)(e^{-ax^2}) ?

The answer to (d^2)/(dx^2)(e^{-ax^2}) is -2a(-2ae^{-ax^2}x^2+e^{-ax^2})

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(d^2)/(dx^2)(e^{-ax^2})

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

- 2 a (- 2 a e^{- a x^{2}} x^{2} + e^{- a x^{2}})

Solution steps

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

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

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

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

= - 2 a (- 2 a e^{- a x^{2}} x^{2} + e^{- a x^{2}})

x \to \infty lim \frac{x}{x x x}

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What is (d^2)/(dx^2)(e^{-ax^2}) ?
The answer to (d^2)/(dx^2)(e^{-ax^2}) is -2a(-2ae^{-ax^2}x^2+e^{-ax^2})