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Beliebt Rechnen >

(\partial)/(\partial y)(x^2-3xy+y^2)

Lösung

\frac{\partial}{\partial y} (x^{2} - 3 x y + y^{2})

Lösung

2 y - 3 x

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} - 3 x y + y^{2})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (x^{2}) - \frac{\partial}{\partial y} (3 x y) + \frac{\partial}{\partial y} (y^{2})

\frac{\partial}{\partial y} (x^{2}) = 0

\frac{\partial}{\partial y} (3 x y) = 3 x

\frac{\partial}{\partial y} (y^{2}) = 2 y

= 0 - 3 x + 2 y

Vereinfache

= 2 y - 3 x

Beliebte Beispiele

derivative f(x)=sqrt(2x^2-x)

integral of 1/(sqrt(t^2-2t+26))

integral from 1/2 to 5 of 12xln(2x)