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Beliebt Rechnen >

derivative of m(m-1x^{m-2})

Lösung

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

Lösung

m x^{m - 3} (m - 1) (m - 2)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= m (m - 1) (m - 2) x^{m - 2 - 1}

Vereinfache

= m x^{m - 3} (m - 1) (m - 2)

Graph

Beliebte Beispiele

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