erweitern (x^4-2x^2+2)(x^2-2x+3)'

Lösung

erweitern

(x^{4} - 2 x^{2} + 2) (x^{2} - 2 x + 3)^{'}

x^{4} (x^{2} - 2 x + 3)' - 2 x^{2} (x^{2} - 2 x + 3)' + 2 (x^{2} - 2 x + 3)'

Schritte zur Lösung

(x^{4} - 2 x^{2} + 2) (x^{2} - 2 x + 3)^{'}

Setze Klammern

= (x^{2} - 2 x + 3)^{^{'}} x^{4} + (x^{2} - 2 x + 3)^{^{'}} (- 2 x^{2}) + (x^{2} - 2 x + 3)^{^{'}} 2

Wende Minus-Plus Regeln an

+ (- a) = - a

= x^{4} (x^{2} - 2 x + 3)^{^{'}} - 2 x^{2} (x^{2} - 2 x + 3)^{^{'}} + 2 (x^{2} - 2 x + 3)^{^{'}}

e x p an d (2, 0, 2,) \cdot (x, 4, - 1) \cdot (3, 2, 1)

\frac{d ^{2}}{d x ^{2}} ((y) (2 x^{2} - 4))

e x p an d (2 + 3 i) (2 - 3 i)^{'}

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

e x p an d cos (3 t) U (t - \frac{7 π}{2})