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Beliebt Rechnen >

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

Lösung

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

Lösung

- 6 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (3 x^{2}) = 0

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

= 0 - 6 y

Vereinfache

= - 6 y

Beliebte Beispiele

(\partial)/(\partial x)(sqrt(9-2x^2-y^2))

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