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Beliebt Rechnen >

derivative of mx^{m-1}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an:

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

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

Vereinfache

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

Graph

Beliebte Beispiele

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