Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the following 3-point formula f(x + h) + f (x) – 2f(x – h) f'(x) & 4h with h = 0.3. 0.0431 0.5544 0.2313...

Please solve this two exercise

Extracted text: Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the following 3-point formula f(x + h) + f (x) – 2f(x – h) f'(x) & 4h with h = 0.3. 0.0431 0.5544 0.2313 0.0343


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