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

Fall 2010
##### Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Simulations
Recitation Videos