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Q68Section I (Objective (Q1–Q80))68 of 80

Numerical Analysis — central difference second derivative value

Consider the following data:

x6⋅16⋅26⋅36⋅4f(x)−0⋅1998−0⋅2223−0⋅2422−0⋅2596\begin{array}{c|cccc} x & 6\cdot 1 & 6\cdot 2 & 6\cdot 3 & 6\cdot 4 \\\hline f(x) & -0\cdot 1998 & -0\cdot 2223 & -0\cdot 2422 & -0\cdot 2596 \end{array}

What is the approximate value of f"(6⋅3)f"(6\cdot 3) with error O(h2)O(h^2) obtained using central difference operator?

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