erweitern (xy-x^3-y^3)e^{-x^2-y^2}

Lösung

erweitern

(x y - x^{3} - y^{3}) e^{- x^{2} - y^{2}}

e^{- x^{2} - y^{2}} x y - e^{- x^{2} - y^{2}} x^{3} - e^{- x^{2} - y^{2}} y^{3}

Schritte zur Lösung

(x y - x^{3} - y^{3}) e^{- x^{2} - y^{2}}

= e^{- x^{2} - y^{2}} (x y - x^{3} - y^{3})

Setze Klammern

= e^{- x^{2} - y^{2}} x y + e^{- x^{2} - y^{2}} (- x^{3}) + e^{- x^{2} - y^{2}} (- y^{3})

Wende Minus-Plus Regeln an

+ (- a) = - a

= e^{- x^{2} - y^{2}} x y - e^{- x^{2} - y^{2}} x^{3} - e^{- x^{2} - y^{2}} y^{3}

e x p an d \frac{2015 x - x ^{2} - 2014}{2015 ( x ^{2} + 2014 )}

e x p an d \frac{2 s}{( x + 4 ) ( x + 5 )}

e x p an d (x - 2) tan^{2} (3 x - 21)

e x p an d cos (x) sin (x) (tan (x) + csc (x))

\frac{\partial}{\partial x} ((z) (3 x yz - e^{z}))