# Matlab ICE

Recall that we can approximate the derivative of a function*f*at a point

*x*using the formula

_{h}= (f(x+h)-f(x-h)) / (2h).

For this exercise, you must write a function deriv_test that takes three arguments: the function

*f*, the point where the derivative is to be approximated

*x*, and the correct value of the derivative. Thus, the function will be called as

`deriv_test(f,x,correct)`. The function will compute the above approximation to the derivative for values of

*h*going down in powers of ten, with exponent

*p*, from 10

^{-1}to 10

^{-16}. It will plot the absolute error |f'(x)-F

_{h}|

for each of those values of p = -1, -2, ..., -16. In other words, the power

*p*of 10 is on the horizontal axis, and the error is on the vertical axis. The function must return the vector of approximations to the derivative.

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).