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A formula of order 4 for approximating the first derivative of a function f gives: f'(0) 4.50557 for h = 1 f'(0) 2.09702 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is:

A formula of order 4 for approximating the first derivative of a function f gives: f'(0) 4.50557 for h = 1 f'(0) 2.09702 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is:

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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A formula of order 4 for approximating the first derivative of a function f gives: f'(0) = 4.50557 for h = 1 S'(0) = 2.09702 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is:
Transcribed Image Text:A formula of order 4 for approximating the first derivative of a function f gives: f'(0) = 4.50557 for h = 1 S'(0) = 2.09702 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is:
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