How do we get the midpoint estimation formula?
I mean this formula $En = \frac{(b-a)^3}{24n^2}\max(f^"(c))\ and\ a \le c \le b$.
I have known how the left / right estimation formulas get found. It uses the worst case of graph where the derivatives of all points are maximum then we can just look for the estimation.
But I don't understand the rest especially I need the midpoint one. What even $f^"(x) $ has to do with the formula? it looks weird since it means we can set the first derivative whatever number we want.
2026-04-30 05:44:19.1777527859
How Midpoint Estimation Formula Be Found?
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