PLEASE DO NOT COPY OTHER CHEGG ANSWERS, AND PLEASE USE MATLAB.

Write a matlab function [x, counte r]= steffensen (f,x0,tol) to find the root of the function f with initial guess x0 and a estimated relative error less than tol. The function returns the estimated root x and the number of iterations counter needed to calculated it. The Steffensen's method is a modification of the Newton's method that does not require the evaluation of the derivative of the function. The iteration proceeds as follows: xi+1=xif(xi+f(xi))f(xi)f(xi)2. One way to look at it is that h=f(xi) is used as a step, and (f(xi+h)f(xi))/h is used as an estimate of the derivative. Limit the number of interations to 100 . Function Code to call your function ? 1f=a(x)(0.5xsin(x)) 2[x, counter ]=steffensen(f,pi,1e2)