When using the three-point midpoint formula to approximate the derivative f'(x0) the total error function (including the round-off and truncation error) is e(h) = (ε/h) + (h^2/6)M

Math Nov 10, 2020

When using the three-point midpoint formula to approximate the derivative f'(x0) the total error function (including the round-off and truncation error) is e(h) = (ε/h) + (h^2/6)M. if ε = 0.01 and M = 3 what is the optimal value of h to minimize the total error
a) 0.0654
b) 0.1354
c) 0.0282
d) 0.2154