Suppose we would like to approximate df/dx at x0 up to O(x 2 ) using function values
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Suppose we would like to approximate df/dx at x0 up to O(Δx2) using function values at x0,x0 − Δx and x − 2Δx, that is,
where α−2,α−1 and α0 are unknown coefficients to be determined. Show that these coefficients are obtained by solving
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