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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (3 y) = 0

= 2 y^{2} x - 0

Vereinfache

= 2 x y^{2}

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