Discretization Basics effect of dx on error

Objective: Function for first order approximation function out = first_order_approximation(x,dx) % Analytical function = sin(x)/x^3; % analytical derivative % f\'(x) =(x^3(cos(x)) -sin(x)*3*x^2)/x^6; analytical_derivative =(x^3*(cos(x)) -sin(x)*3*x^2)/x^6; %numerical derivative %forward differincing % forward_differincing…