Derive Newton’s forward difference interpolation formula.... | Filo

a. Use the forward difference formula, i.e., 2 point formula wi... | Filo

Q3) Compute forward and backward difference approximations of O(h) and O(h^2) and central difference approximations of O(h^2) and O(h^2-) for the first derivative of y = cos(x) at x = T/4 using a value of h = T/12. Estimate the true percent relative error € for each approximation.