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Beliebt Rechnen >

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

Lösung

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

Lösung

3 x y^{2}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 x y^{2} - 0

Vereinfache

= 3 x y^{2}

Beliebte Beispiele

integral of (5x^4)/(x^5-3)

\int \frac{5 x ^{4}}{x ^{5} - 3} d x

fläche y=x^2-4,y=-2x

a re a y = x^{2} - 4, y = - 2 x

derivative of e^{(x^3/3})

\frac{d}{d x} (e^{\frac{x ^{3}}{3}})

integral of (tan^3(8/z))/(z^2)

\int \frac{tan ^{3} ( \frac{8}{z} )}{z ^{2}} d z

integral of (x^2)/(x^2-4)

\int \frac{x ^{2}}{x ^{2} - 4} d x