4th order approximations of the second order derivative

Objective: --------------------------------------------------------------------------------------------- clear all;close all;clc;% analytical function =(e.^x)*cos(x) % analytical_derivative%f\'\'(x)= (-)*2*(e.^x)*sin(x)x=linspace(pi/3,pi/2,10);for i=1:10 analytical_derivative(i)= (-2)*(exp(x(i)))*(sin(x(i)));end dx=pi/40; e=exp(1);%fourth…