Using python:

A. Write a function Newton_method(start, g, derivative, tolerance) to implement Newton-Raphson method. The input is a guess of the root, is a function object that we need to find the root, is a function object that is the first derivative of g, and is the precision value for the stopping criterion. B. Now find the maximum value for f(x)=x4+3x25cosx. I. To obtain the maximum, do we need to find the root of f(x) ? Why or why not? II. Based on f(x), write down the mathematical function g(x) that we should find the root of g(x)=0. Write python code to create a function object for g(x). It will be used as the argument III. Write down the first derivative of g(x) in math formula and in python code. The python code should create a function object to be used as the argument IV. Now run the function with . Try three different points: 3,0,3. Do they bring you to the same x value? Why or why not? V. What is the maximum of f(x)