Mathematics · Numerical Analysis
The first derivative of a function f ∈ C&infty;(−3, 3) is approximated by an interpolating polynomial of degree 2, using the data (−1, f(−1)), (0, f(0)), and (2, f(2)). It is found that: f'(0) ≈ −23 f(−1) + αf(0) + βf(2) Then, the value of 1αβ is:
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