18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: Definition and Basic Rules

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

Clip 1: Introduction to Rates of Change

Clip 2: Rates of Change

Clip 3: Physical Interpretation of Derivatives

Clip 4: Physical Interpretation of Derivatives, Continued

Worked Example

Checking Account Balance

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Course Info

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Fall 2010
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grading Exams with Solutions
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assignment_turned_in Problem Sets with Solutions
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