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Let f(x) = (x-2)³. Using the centered 3-point formula for 1st derivatives: f'(0) 12.01 using h = 0.1 f'(0) 12.00247 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: O 0.234256 O 11.99996 O 12.00000 O 12.00221

Let f(x) = (x-2)³. Using the centered 3-point formula for 1st derivatives: f'(0) 12.01 using h = 0.1 f'(0) 12.00247 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: O 0.234256 O 11.99996 O 12.00000 O 12.00221

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) = (x – 2)3. Using the centered 3-point formula for 1* derivatives: f'(0) 12.01 using h = 0.1 f'(0) x 12.00247 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: 0.234256 11.99996 12.00000 12.00221
Transcribed Image Text:Let f (x) = (x – 2)3. Using the centered 3-point formula for 1* derivatives: f'(0) 12.01 using h = 0.1 f'(0) x 12.00247 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: 0.234256 11.99996 12.00000 12.00221
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