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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 (2+cos(x))/x

\int \frac{2 + cos ( x )}{x} d x

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(\partial)/(\partial y)(8xsin(y-z))

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\int 9 x + 1 d x

limit as x approaches 2 of 4/x

x \to 2 lim (\frac{4}{x})