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Beliebt Rechnen >

derivative of (2/(x^3)^2)

Lösung

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

Lösung

- \frac{24}{x ^{7}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= 2 \cdot \frac{2}{x ^{3}} (- \frac{6}{x ^{4}})

Vereinfache

2 \cdot \frac{2}{x ^{3}} (- \frac{6}{x ^{4}}) : - \frac{24}{x ^{7}}

= - \frac{24}{x ^{7}}

Graph

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