Question

EXAMPLE 5.1 Given the evenly spaced data points x 0 0.1 0.2 0.3 0.4 f(x) 0.0000 0.0819 0.1341 0.1646 0.1797 compute f'(x) and f"(x) at x = 0.2and 0.4 using finite difference approximations of O(h²).

Answer 1

It seems like you are working on some calculus problems. You need to compute f'(x) and f"(x) at x = 0.2 and 0.4 using finite difference approximations of O(h²). You have some data points and need to use those to make the calculations.