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Beliebt Rechnen >

derivative y=(7-3x^3)^3

Lösung

ableitung von

y = (7 - 3 x^{3})^{3}

Lösung

- 27 x^{2} (7 - 3 x^{3})^{2}

Schritte zur Lösung

\frac{d}{d x} ((7 - 3 x^{3})^{3})

Wende die Kettenregel an:

3 (7 - 3 x^{3})^{2} \frac{d}{d x} (7 - 3 x^{3})

= 3 (7 - 3 x^{3})^{2} \frac{d}{d x} (7 - 3 x^{3})

\frac{d}{d x} (7 - 3 x^{3}) = - 9 x^{2}

= 3 (7 - 3 x^{3})^{2} (- 9 x^{2})

Vereinfache

= - 27 x^{2} (7 - 3 x^{3})^{2}

Graph

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