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Beliebt Rechnen >

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

Lösung

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

Lösung

4 e^{- x^{2}} x^{4} - 10 e^{- x^{2}} x^{2} + 2 e^{- x^{2}}

Schritte zur Lösung

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

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

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

\frac{d}{d x} (2 e^{- x^{2}} x - 2 e^{- x^{2}} x^{3}) = 4 e^{- x^{2}} x^{4} - 10 e^{- x^{2}} x^{2} + 2 e^{- x^{2}}

= 4 e^{- x^{2}} x^{4} - 10 e^{- x^{2}} x^{2} + 2 e^{- x^{2}}

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integral of 3+2xy^2

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