Which of the statements below is TRUE regarding the difference formula f'(x) = - 12h h4 If(x– 2h) – 8f(x - h) + 8f(x+ h) – f(x+2h)]+ 30 |a. It is a 5-point centred formula b. The truncation error is O(h4) Oc. When h is large, the truncation error dominates d. · The error for quadratic functions is 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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Which of the statements below is TRUE regarding the difference formula
f'(x) =
12h
h4
-[f(x- 2h) – 8f(x – h) + 8f(x + h) – f(x+2h)]+ f5(c)
30
|a. It is a 5-point centred formula
b. The truncation error is O(h4)
Oc. When h is large, the truncation error dominates
d.
· The error for quadratic functions is 0
Transcribed Image Text:Which of the statements below is TRUE regarding the difference formula f'(x) = 12h h4 -[f(x- 2h) – 8f(x – h) + 8f(x + h) – f(x+2h)]+ f5(c) 30 |a. It is a 5-point centred formula b. The truncation error is O(h4) Oc. When h is large, the truncation error dominates d. · The error for quadratic functions is 0
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