- For the function
,
- Find all critical values (where the derivative is zero or undefined).
- Find intervals on which is increasing and the intervals on which it is decreasing.

- For the function
- Find all critical points. (You do not need to consider where the derivative is undefined here because there could never be a relative extrema at a point where is undefined. Also remember a critical point implies finding corresponding values for each critical value.)
- Use the second derivative test to classify each point as a relative maximum or a relative minimum, again, without plotting the function.

- Find the absolute extrema for the function on the closed interval , again, without plotting the function.

2011-02-16