Calculate the fractional error $ \left(\frac{\Delta x}{x}\right) $, if $ x=a^{n} $

Question

Calculate the fractional error $ \left(\frac{\Delta x}{x}\right) $, if $ x=a^{n} $, $ \pm\left(\frac{\Delta a}{a}\right)^{n} $, $ \pm n\left(\frac{\Delta a}{a}\right) $, $ \pm n \log _{\mathrm{e}} \frac{\Delta a}{a} $, $ \pm \frac{n \log \Delta a}{a} $

MARKS App · Accepted Answer

x = a n ∴ Δ x x = ± n Δ a a

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