Session 2: Examples of Derivatives

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Overview

In this session we apply the main formula for the derivative to the functions 1/x and x^n. We'll also solve a problem using a derivative and give some alternate notations for writing derivatives.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Example 1: y=1/x (00:09:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Harder Problem: Triangles Under the Graph of y=1/x (00:16:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Notation for Derivatives (00:02:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 4: Example 2: y=xn (00:08:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

The Derivative of |x|

 

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