Overview
The derivative tells us how a change in one variable affects another variable. Related rates problems ask how two different derivatives are related. For example, if we know how fast water is being pumped into a tank we can calculate how fast the water level in the tank is rising. The chain rule is the key to solving such problems.
Lecture Video and Notes
Video Excerpts
Recitation Video
Inflating a Balloon
> Download from iTunes U (MP4 - 17MB)
> Download from Internet Archive (MP4 - 17MB)
Sliding Ladder
> Download from iTunes U (MP4 - 38MB)
> Download from Internet Archive (MP4 - 38MB)
Worked Example
Solving an Optimization Problem Using Implicit Differentiation