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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x y + x^{2}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x y + x^{2}

Beliebte Beispiele

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

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

(d^2y)/(dx^2)=3

\frac{d ^{2} y}{d x ^{2}} = 3

(\partial)/(\partial x)(sqrt(2x+4y))

\frac{\partial}{\partial x} (2 x + 4 y)

derivative of 2x*e^x

\frac{d}{d x} (2 x \cdot e^{x})

integral of 1/(4sin(x))

\int \frac{1}{4 sin ( x )} d x