erweitern (d^2)/(dx^2)((2x^2-1)e^{-x^2})+5

Lösung

erweitern

\frac{d ^{2}}{d x ^{2}} ((2 x^{2} - 1) e^{- x^{2}}) + 5

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

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} ((2 x^{2} - 1) e^{- x^{2}}) + 5

Multipliziere aus

(2 x^{2} - 1) e^{- x^{2}} : 2 e^{- x^{2}} x^{2} - e^{- x^{2}}

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

e x p an d \frac{( + 4 s ^{2} - 3 s - 1 ) ( 2 s + 2 )}{s}

e x p an d \frac{( π \cdot ( 3 \cdot x - 3 x ) )}{3}

e x p an d 2 z (e^{x yz} x yz + e^{x yz})

e x p an d (x + 2) (\frac{22}{x} + 2)

e x p an d - \frac{10}{( x - 2 ) ^{3}}