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A formula of order 4 for approximating the first derivative of a function f gives: f(0) 1.0982 for h = 1 f(0) = 1.0078 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 0.97318 1.00177 This option 0.17095 This option 1.93645

A formula of order 4 for approximating the first derivative of a function f gives: f(0) 1.0982 for h = 1 f(0) = 1.0078 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 0.97318 1.00177 This option 0.17095 This option 1.93645

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) - 1.0982 for h = 1 f(0) = 1.0078 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 1.00177 0.97318 This option This option 1.93645 0.17095 OOde ING 17-May-2022
Transcribed Image Text:A formula of order 4 for approximating the first derivative of a function f gives: f(0) - 1.0982 for h = 1 f(0) = 1.0078 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 1.00177 0.97318 This option This option 1.93645 0.17095 OOde ING 17-May-2022
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