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Beliebt Rechnen >

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

Lösung

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

Lösung

10 (x^{3} - x + 1)^{9} (3 x^{2} - 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

10 (x^{3} - x + 1)^{9} \frac{d}{d x} (x^{3} - x + 1)

= 10 (x^{3} - x + 1)^{9} \frac{d}{d x} (x^{3} - x + 1)

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

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

Graph

Beliebte Beispiele

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