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Beliebt Rechnen >

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

Lösung

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

Lösung

x + 2 y

Schritte zur Lösung

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

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

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

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

= 0 + x + 2 y

Vereinfache

= x + 2 y

Beliebte Beispiele

fläche 10-7x,y=0,x^2-20

a re a 10 - 7 x, y = 0, x^{2} - 20

integral of 2x+3x^{-2}

\int 2 x + 3 x^{- 2} d x

integral of (5sin^3(sqrt(x)))/(sqrt(x))

\int \frac{5 sin ^{3} ( x )}{x} d x

(dy)/(dt)+2y=3e^t,y(0)=1

\frac{d y}{d t} + 2 y = 3 e^{t}, y (0) = 1

integral of sqrt(4+5x^2)

\int 4 + 5 x^{2} d x