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Beliebt Rechnen >

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

Lösung

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

Lösung

x + 2 y

Schritte zur Lösung

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

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

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

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

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

= 0 + 2 y + x

Vereinfache

= x + 2 y

Beliebte Beispiele

derivative of (10/((1-x)^3))

integral of (-6/(x^4))

integral of (8x-2)/(x^2-1)

integral of e^{sqrt(9x)}