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Beliebt Rechnen >

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

Lösung

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

Lösung

2 (y + 3) (x + 2)

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

2 (x + 2) \frac{\partial}{\partial x} (x + 2)

= 2 (x + 2) \frac{\partial}{\partial x} (x + 2)

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

= (y + 3) \cdot 2 (x + 2) \cdot 1

Vereinfache

= 2 (y + 3) (x + 2)

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