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Derivatan av potensfunktion

När man deriverar en potensfunktion på formen

a x^{n}

påverkar koefficienten a inte derivatan, som är

a \cdot n x^{n - 1} .

Man låter alltså koefficienten stå kvar medan man multiplicerar funktionen med n och drar bort 1 från n i exponenten.Exempelvis är

D (2 x^{4}) = 2 \cdot 4 x^{3} och D (5 x^{10}) = 5 \cdot 10 x^{9} .

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