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

Lösung

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

e^{- \frac{x ^{2}}{2}} x^{2} - e^{- \frac{x ^{2}}{2}}

Schritte zur Lösung

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

Vereinfache

e^{\frac{- x ^{2}}{2}} : e^{- \frac{x ^{2}}{2}}

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

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

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

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

= e^{- \frac{x ^{2}}{2}} x^{2} - e^{- \frac{x ^{2}}{2}}

t an g e n t y = 7 x - 6 x, (1, 1)

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