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Session 14: Examples of Implicit Differentiation

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Overview

Up to now, we've been finding derivatives of functions. Implicit differentiation allows us to determine the rate of change of values that aren't expressed as functions.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Slope of Tangent to Circle: Direct (5 min)
» Accompanying Notes (PDF)

From Lecture 5 of 18.01 Single Variable Calculus, Fall 2006


» Clip 2: Slope of Tangent to Circle: Implicit (6 min)
» Accompanying Notes (PDF)

From Lecture 5 of 18.01 Single Variable Calculus, Fall 2006


» Clip 3: Example: y4+xy2-2=0 (9 min)
» Accompanying Notes (PDF)

From Lecture 5 of 18.01 Single Variable Calculus, Fall 2006

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Recitation Video

Implicit Differentiation

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» iTunes U (MP4 - 18MB)
» Internet Archive (MP4 - 18MB)

Worked Example

Implicit Differentiation and the Second

 

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