What is (d^2)/(dx^2)(e^{-5x^2}) ?

The answer to (d^2)/(dx^2)(e^{-5x^2}) is -10(-10e^{-5x^2}x^2+e^{-5x^2})

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(d^2)/(dx^2)(e^{-5x^2})

\frac{d ^{2}}{d x ^{2}} (e^{- 5 x^{2}})

- 10 (- 10 e^{- 5 x^{2}} x^{2} + e^{- 5 x^{2}})

Solution steps

\frac{d ^{2}}{d x ^{2}} (e^{- 5 x^{2}})

\frac{d}{d x} (e^{- 5 x^{2}}) = - 10 e^{- 5 x^{2}} x

= \frac{d}{d x} (- 10 e^{- 5 x^{2}} x)

\frac{d}{d x} (- 10 e^{- 5 x^{2}} x) = - 10 (- 10 e^{- 5 x^{2}} x^{2} + e^{- 5 x^{2}})

= - 10 (- 10 e^{- 5 x^{2}} x^{2} + e^{- 5 x^{2}})

x \to + 0 lim (6 sin (x) ln (x))

\int_{- 2}^{3} (x - 4 ∣ x ∣) d x

\int ((tan^{3} (x)) (sec^{4} (x))) d x

\frac{\partial}{\partial x} (3 x^{2} - 3 y^{2})

x \to - 4 lim (- 5 x)

What is (d^2)/(dx^2)(e^{-5x^2}) ?
The answer to (d^2)/(dx^2)(e^{-5x^2}) is -10(-10e^{-5x^2}x^2+e^{-5x^2})