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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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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