Let f (x) =(x-2)-Using the centered 3-point formula for 1* derivatives:f'(0) 0.251255 using h = 0.1f'(0) 0.250313 using h= 0.05Applying Richardson's extrapolation on the above values, we get a better approximation off'(0) which is:O -1.99985-0.4999980.2342560.249999

Given that fx=1x-22 . Using the centered three point formula for first derivative f'0≈0.251255…

Let f(x) = (x-2)2 Using the centered 3-point formula for 1* derivatives: f'(0) 0.251255 using h = 0.1 f'(0) 0.250313 using h = 0.05 %3D Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is:

Let f(x) = (x-2)2 Using the centered 3-point formula for 1* derivatives: f'(0) 0.251255 using h = 0.1 f'(0) 0.250313 using h = 0.05 %3D Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is:

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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Question

Let f (x) =
(x-2)-
Using the centered 3-point formula for 1* derivatives:
f'(0) 0.251255 using h = 0.1
f'(0) 0.250313 using h
= 0.05
Applying Richardson's extrapolation on the above values, we get a better approximation of
f'(0) which is:
O -1.99985
-0.499998
0.234256
0.249999

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