descritization problem

Objective: % analyticla function=sin(x0/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 % forword differencing=(f(x+dx)-f(x))/dx dx=pi/400; % first order approximation forword_differencing=((sin(x+dx)/(x+dx)^3)-(sin(x)/(x)^3))/dx;…