erweitern (2xy)+(y^2-x^2-4)y'(x)

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

y^{'} (x) (y^{2} - x^{2} - 4) : y^{'} (x) y^{2} - x^{2} y^{'} (x) - 4 y^{'} (x)

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

Entferne die Klammern:

(a) = a

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

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

e x p an d 4 \cdot 3482

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

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

e x p an d \frac{4 ( k + 6 )}{k ^{2} + 10 k + 21}