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Beliebt Rechnen >

derivative of 3(7-3x^3^3)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Vereinfache

= - 81 x^{2} (7 - 3 x^{3})^{2}

Graph

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