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
» Clip 1: Slope of Tangent to Circle: Direct (00:05:00)
From Lecture 5 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Slope of Tangent to Circle: Direct
> Download from iTunes U (MP4 - 108MB)
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» Clip 2: Slope of Tangent to Circle: Implicit (00:06:00)
From Lecture 5 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: Slope of Tangent to Circle: Implicit
> Download from iTunes U (MP4 - 108MB)
> Download from Internet Archive (MP4 - 108MB)
» Clip 3: Example: y4+xy2-2=0 (00:09:00)
From Lecture 5 of 18.01 Single Variable Calculus, Fall 2006
Recitation Video
Implicit Differentiation
> Download from iTunes U (MP4 - 18MB)
> Download from Internet Archive (MP4 - 18MB)
Worked Example
Implicit Differentiation and the Second