Let f(x) = Using the centered 3-point formula for 1 derivatives: %3D (ar+1)a" 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...

Extracted text: Let f(x) = Using the centered 3-point formula for 1 derivatives: %3D (ar+1)a" 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: 0.234256 0.249999 -0.499998 O -1.99985