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Let f(x) = Using the centered 3-point formula for 1" derivatives: (x+1) f'(0) -2.04061 using h = 0.1 f'(0) -2.01004 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is O -0.499998 O 1.99985 O 0.24999g 0.234256

Let f(x) = Using the centered 3-point formula for 1" derivatives: (x+1) f'(0) -2.04061 using h = 0.1 f'(0) -2.01004 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is O -0.499998 O 1.99985 O 0.24999g 0.234256

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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Let f(x) = (*+1)* Using the centered 3-point formula for 1" derivatrves: f(0) -2.04061 using h =0.1 f'(0) -2.01004 using h 0.05 Applying Richardson's extrapolation on the abosve values, we get a better approximatron of f(0) which is. -0.499998 -1.99985 0.249999 0.234256
Transcribed Image Text:Let f(x) = (*+1)* Using the centered 3-point formula for 1" derivatrves: f(0) -2.04061 using h =0.1 f'(0) -2.01004 using h 0.05 Applying Richardson's extrapolation on the abosve values, we get a better approximatron of f(0) which is. -0.499998 -1.99985 0.249999 0.234256
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