Session 16: The Derivative of a^x

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Overview

We know how to take the derivative of a variable raised to a constant power. In this session we ask how to take the derivative of a constant raised to a variable power!

Lecture Video and Notes

Video Excerpts

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» Clip 1: Differentiating Logs and Exponentials (00:01:00)

» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Exponent Review (00:04:00)

» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Compound Interest

Lecture Video and Notes

Video Excerpts

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» Clip 1: Difference Quotient of ax (00:05:00)

» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Slope of ax at 0 (00:03:00)

» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

 

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