Session 17: The Exponential Function, its Derivative, and its Inverse

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Overview

In this session we define the exponential and natural log functions. We then use the chain rule and the exponential function to find the derivative of a^x.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Definition of ex (00:08:00)

» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Natural Log (00:07:00)

» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Solving Equations with e and ln

Lecture Video and Notes

Video Excerpts

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» Clip 1: Derivative of ax (00:05:00)

» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Log and Exponent Derivatives

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Lecture Video and Notes

Video Excerpts

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» Clip 1: The Most Natural Logarithmic Function (00:04:00)

» Accompanying Notes (PDF)

From Lecture 7 of 18.01 Single Variable Calculus, Fall 2006

 

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