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

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

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

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

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

Solution steps

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

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

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

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

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

\frac{d}{d x} (\frac{1}{x} + \frac{1}{y})

f (x) = 5 e^{x} + x, at x = 0

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

\frac{d y}{d x} = - 7 e^{x + y}

\int cos (x) x d x

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