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Derivatan av potensfunktion

När man deriverar en potensfunktion på formen

\frac{x ^{n}}{a}

påverkar divisionen med a inte derivatan eftersom det kan ses som en multiplikation med koefficienten

\frac{1}{a} .

Koefficienter följer med vid derivering så det räcker med att man deriverar täljaren. Exempelvis är

D (\frac{x ^{4}}{2}) = \frac{4 x ^{3}}{2} och D (\frac{x ^{10}}{5}) = \frac{1 0 x ^{9}}{5} .

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