erweitern (-2e^{-x^2}x^3-4e^{-x^2})/((x^2+1)^e)

Lösung

erweitern

\frac{- 2 e ^{- x^{2}} x ^{3} - 4 e ^{- x^{2}}}{( x ^{2} + 1 ) ^{e}}

- \frac{2 e ^{- x^{2}} x ^{3}}{( x ^{2} + 1 ) ^{e}} - \frac{4 e ^{- x^{2}}}{( x ^{2} + 1 ) ^{e}}

Schritte zur Lösung

\frac{- 2 e ^{- x^{2}} x ^{3} - 4 e ^{- x^{2}}}{( x ^{2} + 1 ) ^{e}}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 2 e ^{- x^{2}} x ^{3} - 4 e ^{- x^{2}}}{( x ^{2} + 1 ) ^{e}} = - \frac{2 e ^{- x^{2}} x ^{3}}{( x ^{2} + 1 ) ^{e}} - \frac{4 e ^{- x^{2}}}{( x ^{2} + 1 ) ^{e}}

= - \frac{2 e ^{- x^{2}} x ^{3}}{( x ^{2} + 1 ) ^{e}} - \frac{4 e ^{- x^{2}}}{( x ^{2} + 1 ) ^{e}}

e x p an d \frac{x}{( x + 2 ) ( x - 1 )}

\frac{d}{d t} ((A (t)) (12 - \frac{5 A ( t )}{500 - t}))

e x p an d \frac{( x + 5 )}{( 3 - x ) ( 1 + x ) ^{2}}

e x p an d (\frac{a + 1}{a}) 5

e x p an d \frac{6}{( x + 1 ) ^{3}}