MATLAB

Write a function with the header: function [R] = my which takes as input f: a function handle x0: the initial guess of the root tol: a tolerance above which the algorithm will keep iterating. Iips: The code should calculate the value of the derivative of the function numerically. You may use your "myPartialDeriv" or implement a finite difference approximation terations get greater than 100. should be no fprintf statements in your code) Test Case: Be sure to include an iteration counter which will stop the while-loop if the number of . It is not necessary to print out a convergence table within the while loop. (l.e., there >format longg >> f @ (x) 2* (1-cos (x) ) +4" (1-sgrt (1-(0. 5 * sin (x) ) ^2) ) >> [root] myNRI(f, 1, 1e-8) -1.2; root 0.958192178746275