# 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.

Assignment 6 is posted.

The midterm exam will take place on Friday,
12 October. As always, you are permitted any paper
notes you find useful, but no electronic devices are
allowed. The test is cumulative, but emphasizes
the material covered in the last fours weeks.
A sample exam is
available.

You need to install
Matlab
on your computer by Wednesday.
You do not need Simulink or any particular toolboxes, though
you might find the Symbolic toolbox useful at some time
in the future (not in this class).