Question: (3 marks) Let f(x) = cos(pix). Give a numerical differentiation formula based on the values of f(x) at x = 0.25, 0.5, and 0.75 which

(3 marks) Let f(x) = cos(pix). Give a numerical differentiation formula based on the values of f(x) at x = 0.25, 0.5, and 0.75 which approximates f??(0.5). Evaluate the formula using your calculator. Compare the result to the exact value. What error dominates your solution, roundoff error or truncation error? Explain.

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