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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x - y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 2 x + 0 - y

Vereinfache

= 2 x - y

Beliebte Beispiele

integral of 2e^x+8x^3+6x

\int 2 e^{x} + 8 x^{3} + 6 x d x

\frac{d y}{d x} + 3 y = 8

integral from 2 to 3 of 9/(sqrt(3-x))

\int_{2}^{3} \frac{9}{3 - x} d x

derivative of x^4-4x^3+10

\frac{d}{d x} (x^{4} - 4 x^{3} + 10)

limit as x approaches 0 of 8e^xsin(x)

x \to 0 lim (8 e^{x} sin (x))