erweitern-2(x+ux)(udx+xdu)

Lösung

erweitern

- 2 (x + ux) (u d x + x d u)

- 2 xu d x - 2 x^{2} d u - 2 x u^{2} d x - 2 x^{2} u d u

Schritte zur Lösung

- 2 (x + ux) (u d x + x d u)

= - 2 (x + xu) (u d x + x d u)

Multipliziere aus

(x + ux) (u d x + x d u) : xu d x + x^{2} d u + x u^{2} d x + x^{2} u d u

= - 2 (xu d x + x^{2} d u + x u^{2} d x + x^{2} u d u)

Multipliziere aus

- 2 (xu d x + x^{2} d u + x u^{2} d x + x^{2} u d u) : - 2 xu d x - 2 x^{2} d u - 2 x u^{2} d x - 2 x^{2} u d u

= - 2 xu d x - 2 x^{2} d u - 2 x u^{2} d x - 2 x^{2} u d u

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

e x p an d 8^{u (5 p + 4 q)}

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

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

e x p an d \frac{4 - x}{x ( x - 2 )}