Consider f(x) x 4 for x 0 0, x 1 0 2, x 2 0 4, x 3 0 6, x 4 0 8 Calculate f ' 2 from (14a), (14b), (14c), (15) Determine the errors Compare and comment

Question: Consider f(x) = x 4 for x 0 = 0, x 1 = 0.2, x 2 = 0.4, x 3 = 0.6, x 4 =

Consider f(x) = x⁴ for x₀ = 0, x₁ = 0.2, x₂ = 0.4, x₃ = 0.6, x₄ = 0.8. Calculate f'₂from (14a), (14b), (14c), (15). Determine the errors. Compare and comment.

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