Session 36: Differentials

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Overview

The differential dy represents an infinitely small change in the value of y. The derivative dy/dx can be thought of as a ratio of differentials. Using differentials will make our calculations simpler; here we see how they can be used to compute linear approximations.

Lecture Video and Notes

Video Excerpts

» Clip 1: Introduction to Differentials (00:04:00)

» Accompanying Notes (PDF)

From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Computing Differentials

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Lecture Video and Notes

Video Excerpts

» Clip 1: Differentials and Linear Approximation (00:10:00)

» Accompanying Notes (PDF)

From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Linear Approximation with Differentials

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00:00

Worked Example

 

Population Dynamics

 

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