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Beliebt Rechnen >

derivative of 3(x-1^2)

Lösung

\frac{d}{d x} (3 (x - 1)^{2})

Lösung

6 (x - 1)

Schritte zur Lösung

\frac{d}{d x} (3 (x - 1)^{2})

Entferne die Konstante:

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

= 3 \frac{d}{d x} ((x - 1)^{2})

Wende die Kettenregel an:

2 (x - 1) \frac{d}{d x} (x - 1)

= 2 (x - 1) \frac{d}{d x} (x - 1)

\frac{d}{d x} (x - 1) = 1

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

Vereinfache

= 6 (x - 1)

Graph

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