Apply the extrapolation process described in Example 1 to determine N3(h), an approximation to f' (x0), for

Question:

Apply the extrapolation process described in Example 1 to determine N3(h), an approximation to f' (x0), for the following functions and step sizes.
a. f (x) = ln x, x0 = 1.0, h = 0.4
b. f (x) = x + ex , x0 = 0.0, h = 0.4
c. f (x) = 2x sin x, x0 = 1.05, h = 0.4
d. f (x) = x3 cos x, x0 = 2.3, h = 0.4