*Date:* MATH 1210-4 - Spring 2004

*Note:* Unless stated otherwise, answers without justification
receive *no credit*. Please, *show your work!*

- Let
- Find all the critical points of .
- Find the regions where is increasing and where it is decreasing.
- Find the regions where is concave up and where it is concave down.
- Find all inflection points of .
- Using the first or second derivatives of decide which of the critical points are local maximum values and which are local minimum values.
- Using only the information that you have gathered so far, sketch a graph of showing this information.

Javier Fernandez 2004-03-23