Overview
In this session we apply the main formula to a product of two functions. The result is a rule for writing the derivative of a product in terms of the factors and their derivatives.
Lecture Video and Notes
Video Excerpts
» Clip 1: Introduction of Product and Quotient Rules (00:02:00)
From Lecture 3 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Introduction of Product and Quotient Rules
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» Clip 2: Introduction to General Rules for Differentiation (00:02:00)
From Lecture 4 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: Introduction to General Rules for Differentiation
> Download from iTunes U (MP4 - 101MB)
> Download from Internet Archive (MP4 - 101MB)
Recitation Video
Product Rule
> Download from iTunes U (MP4 - 16MB)
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Worked Example
Smoothing a Piecewise Polynomial