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Let f(x) = ln x. By using the following formula for first derivative approximation: - - f'(x) ≈ f (x − 2h) - 4f (x − h) + 3f (x) 2h We calculate f'(2) using h = 0.1 and h = 0.05 to deduce that the truncation error of this formula

Let f(x) = ln x. By using the following formula for first derivative approximation: - - f'(x) ≈ f (x − 2h) - 4f (x − h) + 3f (x) 2h We calculate f'(2) using h = 0.1 and h = 0.05 to deduce that the truncation error of this formula

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(x) = ln x. By using the following formula for first derivative approximation: f(x-2h)-4f(x - h) + 3f(x) f'(x) ≈: We calculate f' (2) using h = 0.1 and h = 0.05 to deduce that the truncation error of this formula is almost: 3 4 2 None of the choices 2h
Transcribed Image Text:Let f(x) = ln x. By using the following formula for first derivative approximation: f(x-2h)-4f(x - h) + 3f(x) f'(x) ≈: We calculate f' (2) using h = 0.1 and h = 0.05 to deduce that the truncation error of this formula is almost: 3 4 2 None of the choices 2h
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