Let f(x) = ; Using the centered 3-point formula for 1 derivatives: (x-2)2" f'(0) 0.251255 using h= 0.1 S(0) ~0.250313 using h= 0.05 Applying Richardson's extrapolation on the above values, we get a...

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