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Session 31: Related Rates

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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

Sliding Ladder

Worked Example

Solving an Optimization Problem Using Implicit Differentiation

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Course Features

grading Exams - Solutions
grading Exams - Solutions
laptop_windows Interactive simulations - Applet
laptop_windows Interactive simulations - Applet