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Theoretical errors of different orders of the derivative. The error of each D-FR(x) is shown to be larger than that of D1(x) and less than that of D2(x).
| f (x) Theoretical | D1(x) | D1.3(x) | D1.5(x) | D1.7(x) | D2(x) | |
|---|---|---|---|---|---|---|
| Variance (from first 3 terms) | 1 | 2 | 2.728 | 3.391 | 4.244 | 6 |
| Variance (from first 100 terms) | 1 | 2 | 2.731 | 3.395 | 4.248 | 6 |
| Standard Deviation | 1 | 1.41 | 1.65 | 1.84 | 2.06 | 2.45 |
