#7. [Extra Credit] Is calculus wrong?! Consider f(x) = ex. (a) Calculate the derivative of f(x) at x = 0 using O(h) finite difference (forward and backward) and O(h²) centered finite difference. Vary h in the following manner: 1, 101, 102,....10-15. (Write a MATLAB script for this purpose and call it pset5_prob7) (b) Modify your script to plot (log-log) the the true percent error in all three cases as a function of h in one plot. (c) In calculus we learned that as h approaches zero, the finite difference should approach the true value of the derivative. Do your results contradict this? Explain.