### Overview

Often, our goal in solving a problem is to find extreme values. We might want to launch a probe as high as possible or to minimize the fuel consumption of a jet plane. Sometimes we’ll find our answer on the boundaries of our range of options – we launch the probe straight up. Sometimes we’ll find the best answer by using a derivative to determine when the graph of a function “levels out” at the top of a peak or bottom of a dip.

### Lecture Video and Notes

#### Video Excerpts

Clip 1: Maxima and Minima Using Graphs

Clip 2: Maximum Area of Two Squares