Question: The forward and backward differences to find the first derivatives aref'(xi)~=f(xi+1)-f(xi)h+O(h) forward difference f'(xi)~=f(xi)-f(xi-1)h+O(h) backward difference Prove that the truncation error of the Centered difference

The forward and backward differences to find the first derivatives aref'(xi)~=f(xi+1)-f(xi)h+O(h) forward difference f'(xi)~=f(xi)-f(xi-1)h+O(h) backward difference Prove that the truncation error of the Centered difference for the first derivative isO(h2).

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