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Derivatan av $\frac{a ^{x}}{C}$

Koefficienter påverkas inte av derivering. Eftersom division med exempelvis 50 kan skrivas multiplikation med koefficienten

\frac{1}{5 0}

påverkas inte heller konstanta nämnare av derivering. Exempelvis är derivatan av

\frac{3 ^{x}}{5 0}

därför lika med

enligt deriveringsregeln för exponentialfunktioner på formen

C \cdot a^{x}

.

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