Discretization - Comparing the first, second and fourth order approximations of the first order derivative against the analytical or exact derivative.

Objective: Objective:- Write a program that compares the first, second and fourth order approximations of the first derivative against the analytical or exact derivative. 1. The function that you will compute if f(x) = sin(x)/x^3 2. You will compute the first derivative at x = pi/3 2a. You will compute the derivative both numerically…