A program that compares the first, second and fourth order approximations of the first derivative against the analytical or exact derivative

Objective: % Program that compares the first, second and fourth order approximations clear all close all clc %analytical function =sin(x)/x^3 %analytical derivative % f'(x)=(x^3(cos(x))-sin(x)*3*x^2)/x^6 ; x= pi/3 ; analytical_derivative=(x^3*(cos(x))-sin(x)*3*x^2)/x^6 ; % numerical derivative % forward differencing= (f(x+dx)-f(x))/dx…