Session 31: Related Rates

OCW Scholar

« Previous | Next »

 

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

» Clip 1: Introduction to Related Rates (00:05:00)

» Accompanying Notes (PDF)

From Lecture 12 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Related Rates (00:06:00)

» Accompanying Notes (PDF)

From Lecture 13 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Rates: A Conical Tank (00:13:00)

» Accompanying Notes (PDF)

From Lecture 13 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Inflating a Balloon

Flash and JavaScript are required for this feature.

Sliding Ladder

Flash and JavaScript are required for this feature.

Worked Example

 

Solving an Optimization Problem Using Implicit Differentiation

 

« Previous | Next »