### Overview

The first derivative of a function tells us whether its graph slopes up or down or is level. The second derivative tells us how that slope is changing. By combining this information with what we know about asymptotes, intercepts and plotting points we can sketch a pretty good graph of the function.

### Lecture Video and Notes

#### Video Excerpts

Clip 1: Introduction to Curve Sketching

Clip 3: Graphing a Rational Function