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 (00:07:00)
From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Introduction to Curve Sketching
> Download from iTunes U (MP4 - 114MB)
> Download from Internet Archive (MP4 - 114MB)
» Clip 3: Graphing a Rational Function (00:19:00)
From Lecture 11 of 18.01 Single Variable Calculus, Fall 2006
Recitation Video
Sketching a Curve
> Download from iTunes U (MP4 - 27MB)
> Download from Internet Archive (MP4 - 27MB)