What is (d^2)/(dx^2)(e^{-3x^2}) ?

The answer to (d^2)/(dx^2)(e^{-3x^2}) is -6(-6e^{-3x^2}x^2+e^{-3x^2})

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(d^2)/(dx^2)(e^{-3x^2})

\frac{d ^{2}}{d x ^{2}} (e^{- 3 x^{2}})

- 6 (- 6 e^{- 3 x^{2}} x^{2} + e^{- 3 x^{2}})

Solution steps

\frac{d ^{2}}{d x ^{2}} (e^{- 3 x^{2}})

\frac{d}{d x} (e^{- 3 x^{2}}) = - 6 e^{- 3 x^{2}} x

= \frac{d}{d x} (- 6 e^{- 3 x^{2}} x)

\frac{d}{d x} (- 6 e^{- 3 x^{2}} x) = - 6 (- 6 e^{- 3 x^{2}} x^{2} + e^{- 3 x^{2}})

= - 6 (- 6 e^{- 3 x^{2}} x^{2} + e^{- 3 x^{2}})

What is (d^2)/(dx^2)(e^{-3x^2}) ?
The answer to (d^2)/(dx^2)(e^{-3x^2}) is -6(-6e^{-3x^2}x^2+e^{-3x^2})