18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Implicit Differentiation and Inverse Functions

Session 14: Examples of Implicit Differentiation

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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

Clip 2: Slope of Tangent to Circle: Implicit

Clip 3: Example: y4+xy2-2=0

Recitation Video

Implicit Differentiation

Worked Example

Implicit Differentiation and the Second

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos