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Beliebt Rechnen >

(\partial)/(\partial x)(5(x-3)^2)

Lösung

\frac{\partial}{\partial x} (5 (x - 3)^{2})

Lösung

10 (x - 3)

Schritte zur Lösung

\frac{\partial}{\partial x} (5 (x - 3)^{2})

Entferne die Konstante:

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

= 5 \frac{\partial}{\partial x} ((x - 3)^{2})

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x - 3) = 1

= 5 \cdot 2 (x - 3) \cdot 1

Vereinfache

= 10 (x - 3)

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x \to \infty lim (i x)