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

The answer to (d^2)/(dx^2)(x^2e^{-2x}) is 4e^{-2x}x^2-8e^{-2x}x+2e^{-2x}

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

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

4 e^{- 2 x} x^{2} - 8 e^{- 2 x} x + 2 e^{- 2 x}

Solution steps

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

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

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

\frac{d}{d x} (2 e^{- 2 x} x - 2 e^{- 2 x} x^{2}) = 4 e^{- 2 x} x^{2} - 8 e^{- 2 x} x + 2 e^{- 2 x}

= 4 e^{- 2 x} x^{2} - 8 e^{- 2 x} x + 2 e^{- 2 x}

\int_{0}^{8} (8 - x)^{2} d x

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\frac{\partial}{\partial y} (3 y cos (π x) + 2 x z)

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What is (d^2)/(dx^2)(x^2e^{-2x}) ?
The answer to (d^2)/(dx^2)(x^2e^{-2x}) is 4e^{-2x}x^2-8e^{-2x}x+2e^{-2x}