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Beliebt Rechnen >

(\partial)/(\partial x)(3/(x^2))

Lösung

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

Lösung

- \frac{6}{x ^{3}}

Schritte zur Lösung

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

Entferne die Konstante:

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

= 3 \frac{\partial}{\partial x} (\frac{1}{x ^{2}})

Wende Exponentenregel an:

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

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

Wende die Potenzregel an:

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

= 3 (- 2 x^{- 2 - 1})

Vereinfache

3 (- 2 x^{- 2 - 1}) : - \frac{6}{x ^{3}}

= - \frac{6}{x ^{3}}

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