Session 3: Derivative as Rate of Change

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Overview

We understand slope as the change in y coordinate divided by the change in x coordinate. Considering change in position over time or change in temperature over distance, we see that the derivative can also be interpreted as a rate of change. If we think of an inaccurate measurement as "changed" from the true value we can apply derivatives to determine the impact of errors on our calculations.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Introduction to Rates of Change (00:01:00)

» Accompanying Notes (PDF)

From Lecture 2 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Rates of Change (00:02:00)

» Accompanying Notes (PDF)

From Lecture 2 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Physical Interpretation of Derivatives (00:08:00)

» Accompanying Notes (PDF)

From Lecture 2 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 4: Physical Interpretation of Derivatives, Continued (00:06:00)

» Accompanying Notes (PDF)

From Lecture 2 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

Checking Account Balance

 

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