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Beliebt Rechnen >

derivative of (2-x^3^3)

Lösung

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

Lösung

- 9 x^{2} (2 - x^{3})^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= - 9 x^{2} (2 - x^{3})^{2}

Graph

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