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Beliebt Rechnen >

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

Lösung

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

Lösung

6 x^{2} y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (3 x^{2} y^{2}) = 6 x^{2} y

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

= 6 x^{2} y - 0

Vereinfache

= 6 x^{2} y

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