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Derivatan av $\frac{1}{x}$

Derivatan av

\frac{1}{x}

är

- \frac{1}{x ^{2}} .

Det här kan man härleda genom att skriva

\frac{1}{x}

på potensform,

x^{- 1} .

Man kan då använda den vanliga deriveringsregeln för uttryck på formen

x^{n}

:

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