taylor table challenge
Objective: clear all close all clc % analytical function =(exp(x)*cos(x)); % analytical derivative % f\'\'(x)=-2*exp(x)*sin(x); x=pi/3; dx=pi/40; analytical_derivative =-2*exp(x)*sin(x) % numerical derivative % fourth order approximation of central difference %central_differencing=16*(exp(x-dx)*cos(x-dx))+16*(exp(x+dx)*cos(x+dx))-30*(exp(x)*cos(x))-0.083333*(exp(x-2*dx)*cos(x-2*dx))-0.0833333*(exp(x+2*dx)*cos(x+2*dx))/(12*dx^2)…