Session 9: Product Rule

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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

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» Clip 1: Introduction of Product and Quotient Rules (00:02:00)

» Accompanying Notes (PDF)

From Lecture 3 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Introduction to General Rules for Differentiation (00:02:00)

» Accompanying Notes (PDF)

From Lecture 4 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Product Rule (00:09:00)

» Accompanying Notes (PDF)

From Lecture 4 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

Product Rule

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Worked Example

Smoothing a Piecewise Polynomial

 

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