derivative (7-3x^2)^3

Lösung

ableitung von

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (7 - 3 x^{2}) = - 6 x

= 3 (7 - 3 x^{2})^{2} (- 6 x)

Vereinfache

= - 18 x (7 - 3 x^{2})^{2}

\frac{d}{d x} (\frac{x + 36}{x})

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