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Beliebt Rechnen >

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

Lösung

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

Lösung

2 (y - 2)

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

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

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (3) = 0

= (y - 2) (2 + 0)

Vereinfache

= 2 (y - 2)

Beliebte Beispiele

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\int in y d y