Using Python Coding, Problem: Calculate d f /dx of f(x) = cos x + sin x Write a script that will evaluate the approximate derivative of the function f(x) = cos x + sin x, in x from 0 to 2π using 100 points, with the following approximations: • the Forward Difference approximation, d f /dxFD, • the Backward Difference approximation, d f /dxBD, and • the Central Difference approximation, d f /dxCD. Plot in the same figure the function f(x), the analytical derivative d f /dx, the approximated derivatives d f /dxFD, d f /dxBD and d f /dxCD versus x. Your plot must have an appropriate legend, axis labels and a grid. You must write your script using for or while loops.