# Matlab Newton's Method

Recall that Newton's Method is an iterative way of approximating a
zero of a function \(f\). The idea is that, given a starting
guess \(x_i\), we compute new estimates of the zero
of \(f\) using the formula
\[x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}\quad n=0,1,\dots\ .\]
One uses this iteration until
\(\vert x_{n+1}-x_n\vert\lt \text{tolerance}\)
or until we give up trying.
Write a Matlab function `newton(f,x0,tolerance)` that finds the
zero of a function using Newton's method.

A solution for the
final is available.