if f =x²,then the relative error in f is?
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• If f =x² then the relative error in f is 2x . Because
The error in any function is equal to the multiplication of its power।
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Given that: f=x^2
Hence,
df/dx =2x
Therefore: Δf= (df/dx) Δx=2xΔx
The relative error in f is: Δf/f = 2xΔx/x^2 = 2Δx/x
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