Analysis of formulas derived from Taylor Series-

Consider the function f(x) = x3 ? 2x + 4 on the interval [? 2, 2] with h = 0.25 . Use the forward, backward, and centered finite difference approximations for the first and second derivatives so as to graphically illustrate which approximation is most accurate. Graph all three first derivative finite difference approximations along with the analytical, and do the same for the second derivative as well. You should write a Python program that does this, using pyplot to create plots with meaningful title and labels. To complete this task, you should embed within your report ? The two graphs ? The well-documented neatly formatted code for your program