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Beliebt Rechnen >

(\partial)/(\partial y)((x^2-1)(y+2))

Lösung

\frac{\partial}{\partial y} ((x^{2} - 1) (y + 2))

Lösung

x^{2} - 1

Schritte zur Lösung

\frac{\partial}{\partial y} ((x^{2} - 1) (y + 2))

Behandle

x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= (x^{2} - 1) \frac{\partial}{\partial y} (y + 2)

Wende die Summen-/Differenzregel an:

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

= (x^{2} - 1) (\frac{\partial}{\partial y} (y) + \frac{\partial}{\partial y} (2))

\frac{\partial}{\partial y} (y) = 1

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

= (x^{2} - 1) (1 + 0)

Vereinfache

= x^{2} - 1

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