Question: 3. Consider the finite difference formula 1 f'(xj): = 12h [f(xj-2h) 8f(x; h) +8f(x; + h) f(x; + 2h)] + O(h). - Derive this

3. Consider the finite difference formula 1 f'(xj): = 12h [f(xj-2h) 8f(x;

3. Consider the finite difference formula 1 f'(xj): = 12h [f(xj-2h) 8f(x; h) +8f(x; + h) f(x; + 2h)] + O(h). - Derive this formula by using Taylor's theorem. (Hint: set n = 4 in Taylor's expan- sion)

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