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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

Select the first clip below to begin.

» Clip 1: Differentiating Logs and Exponentials (1 min)
» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Exponent Review (4 min)
» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

Worked Example

 

Compound Interest

Lecture Video and Notes

Video Excerpts

Select the first clip below to begin.

» Clip 1: Difference Quotient of ax (5 min)
» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Slope of ax at 0 (3 min)
» Accompanying Notes (PDF)

From Lecture 6 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

 

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