discretization basic for a range of dx

Objective: Program that compares the first, second and fourth order approximations of the first derivative against the analytical or exact derivative for a range of dx. `f(x)=sinx/x^3` The function is computed at x=pi/3 1. First order approximation=`(sin(x+dx)/(x+dx)^3-sin(x)/x^3)/dx` 2. Second order approximation=`(sin(x+dx)/(x+dx)^3-sin(x-dx)/(x-dx)^3)/(2*dx)`…