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Beliebt Rechnen >

derivative of (x^{10}-1^3)

Lösung

\frac{d}{d x} ((x^{10} - 1)^{3})

Lösung

30 x^{9} (x^{10} - 1)^{2}

Schritte zur Lösung

\frac{d}{d x} ((x^{10} - 1)^{3})

Wende die Kettenregel an:

3 (x^{10} - 1)^{2} \frac{d}{d x} (x^{10} - 1)

= 3 (x^{10} - 1)^{2} \frac{d}{d x} (x^{10} - 1)

\frac{d}{d x} (x^{10} - 1) = 10 x^{9}

= 3 (x^{10} - 1)^{2} \cdot 10 x^{9}

Vereinfache

= 30 x^{9} (x^{10} - 1)^{2}

Graph

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