# 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.

The "final exam" for this course will take place
at 8:00 AM on Tuesday, 12 December. This will be an ordinary
50 minute test. It will be comprehensive, but weighted toward
the latter half of the semester. As always, paper notes will
be permitted, but no electronic devices will be allowed.
A sample exam is available.

A
Solution example is available
for the quiz. The solution to
Test 1 is still available too.

The ultimate assignment is posted.