Show that the first-order central divided difference is given by: $$ f'(x_i) = \frac{f(X_{i+1}) - f(X_{i-1})}{X_{i+1}-X_{i-1}} + O(h^2)$$ Note: Please explain in the simplest way possible, I'm still trying to learn.
2026-03-30 06:14:13.1774851253
First Order Central Divided Difference
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