Given the function f(x) = e^-0.5x sin(x), let f'(x) = df/dx be the exact derivative. We can generate a discrete function as a set of points {x_i, y_i}, where y_i = f (x_i). Write a MATLAB code to do the following: Generate an array of x_i values, starting at x = 0.0, ending at x = 4.0, and at intervals of h = Delta x = 1.0. Generate an array of y_i values, where y_i = e^-0.5x_i sin (x_i). Using first-order backwards-difference discretization techniques, approximate the first derivative, z_i almostequalto f'(x_i) Calculate the error of this approximation, epsilon_i = z_i - f'(x_i). Display the average value of epsilon_i Repeat Steps 1-5 using h = 0.1. Repeat Steps 1-5 using h = 0.01