18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Optimization, Related Rates and Newton's Method

Session 31: Related Rates

« Previous | Next »


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

Clip 1: Introduction to Related Rates

Clip 2: Related Rates

Clip 3: Rates: A Conical Tank

Recitation Video

Inflating a Balloon

Sliding Ladder

Worked Example

Solving an Optimization Problem Using Implicit Differentiation

« Previous | Next »

Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos