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Beliebt Rechnen >

(\partial)/(\partial y)(4x^3y^3-2)

Lösung

\frac{\partial}{\partial y} (4 x^{3} y^{3} - 2)

Lösung

12 x^{3} y^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (4 x^{3} y^{3} - 2)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (4 x^{3} y^{3}) - \frac{\partial}{\partial y} (2)

\frac{\partial}{\partial y} (4 x^{3} y^{3}) = 12 x^{3} y^{2}

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

= 12 x^{3} y^{2} - 0

Vereinfache

= 12 x^{3} y^{2}

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