Taylor table method and matlab code.

Objective: clc clear all close all x = pi/4; dx = linspace(pi/20,pi/4,20); AS=-2*exp(x)*sin(x); a=cos(x)*exp(x); % right skewed difference scheme% for i=1:length(dx) b(i)=cos(x+dx(i))*exp(x+dx(i)); c(i)=cos(x+2*dx(i))*exp(x+2*dx(i)); d(i)=cos(x+3*dx(i))*exp(x+3*dx(i)); e(i)=cos(x+4*dx(i))*exp(x+4*dx(i)); RSD(i)=(35*a-104*b(i)+114*c(i)-56*d(i)+11*e(i))/(12*(dx(i)^2));…