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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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

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

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