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Session 1: Introduction to Derivatives

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Overview

This session provides a brief overview of Unit 1 and describes the derivative as the slope of a tangent line. It concludes by stating the main formula defining the derivative.

Lecture Videos and Notes

Video Excerpts

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» Clip 1: Introduction to 18.01 (3 min)
» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006


» Clip 2: Geometric Interpretation of Differentiation (5 min)
» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006


» Clip 3: Limit of Secants (3 min)
» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006


» Clip 4: Slope as Ratio (2 min)
» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006


» Clip 5: Main Formula (3 min)
» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

Worked Example

Secants and Tangents

Please use the mathlet below to complete the problem.

Mathlet

Secant Approximation

Recitation Video

Definition of Derivative

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Download this video:
» iTunes U (MP4 - 27MB)
» Internet Archive (MP4 - 27MB)

Graphing a Derivative Function

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Download this video:
» iTunes U (MP4 - 26MB)
» Internet Archive (MP4 - 26MB)

 

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