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Beliebt Rechnen >

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

Lösung

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

Lösung

x^{2} + 2 x y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= x^{2} + 2 x y

Beliebte Beispiele

integral of x(5x^2+4)^3

\int x (5 x^{2} + 4)^{3} d x

steigung (1,2.5),(4,1)

s l o p e (1, 2.5), (4, 1)

integral of 3x^3-12x

\int 3 x^{3} - 12 x d x

inverselaplace 4/(s^2(s+2))

in v erse l a pl a ce \frac{4}{s ^{2} ( s + 2 )}

y^{''}-4y=16xe^{2x}

y^{^{''}} - 4 y = 16 x e^{2 x}