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Beliebt Rechnen >

(1/(x^2))^'

Lösung

(\frac{1}{x ^{2}})^{^{'}}

Lösung

- \frac{2}{x ^{3}}

Schritte zur Lösung

(\frac{1}{x ^{2}})^{'}

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 2 x^{- 2 - 1}

Vereinfache

- 2 x^{- 2 - 1} : - \frac{2}{x ^{3}}

= - \frac{2}{x ^{3}}

Graph

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