Newton Raphson Method using Matlab

1. Write a MATLAB progrm that implements the Newton method for root-finding problem.

The input parameter should be: the function f, the derivative of the function df, the initial guess, an error tolerance, and the maximum number of iterations.

The program should stop when the approximate percent error is less than or equal the tolerance.

Your output should be a table where each row contains the number of iteration, the value of the root, and the percent approximate error.

2. In order to test your program to compute the root of e^-x=cos(x) +1 with tolerance 10^-6, create a main M-file where you can call you program, the necessary function(s), and that should the output of roots (to 5 significant figures)

3. Everything should work by simply running the main M-file. The output table should be printed on the screen, and your program shoud create a plot of the used function and a point representing the root

4. Your final submission should include:

a) Your M-file for question 1

b) The main M-file for question 2

c) When you run the main M-file, the output table should be printed on the screen, and a plot of the function with the root point should be created.