Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) ≈ f (x − 2h) — 4f (x − h) + 3f (x) 2h Then, the actual error for the approximation of f'(2) with h = 0.1 is most nearly

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Suppose that the first derivative of f(x) = x² In x is approximated by the following formula
f'(x) =
f(x-2h) - 4f(x - h) + 3f(x)
2h
Then, the actual error for the approximation of f'(2) with h = 0.1 is most nearly
0.21475
O None of the choices
0.00346
O 0.01458
Transcribed Image Text:Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) = f(x-2h) - 4f(x - h) + 3f(x) 2h Then, the actual error for the approximation of f'(2) with h = 0.1 is most nearly 0.21475 O None of the choices 0.00346 O 0.01458
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