Question: Derive the coefficients in the approximation f'(x) = a0 f(x- h) + a1 f(x + h/3) + a2f(x + h). Choose coefficients so that the

Derive the coefficients in the approximation f'(x) = a0 f(x- h) + a1 f(x + h/3) + a2f(x + h). Choose coefficients so that the approximation is exact for all polynomials of degree two. Establish the order of convergence for this approximation.

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