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Beliebt Rechnen >

derivative of 1/x-1/(x^2)

Lösung

\frac{d}{d x} (\frac{1}{x} - \frac{1}{x ^{2}})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x} - \frac{1}{x ^{2}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{1}{x}) - \frac{d}{d x} (\frac{1}{x ^{2}})

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

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

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

Vereinfache

= - \frac{1}{x ^{2}} + \frac{2}{x ^{3}}

Graph

Beliebte Beispiele

derivative of 2/(3x(\sqrt[3]{x^2+1)})

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