18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Implicit Differentiation and Inverse Functions

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

Clip 1: Definition of ex

Clip 2: Natural Log

Worked Example

Solving Equations with e and ln

Lecture Video and Notes

Video Excerpts

Clip 1: Derivative of ax

Recitation Video

Log and Exponent Derivatives

Lecture Video and Notes

Video Excerpts

Clip 1: The Most Natural Logarithmic Function

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Course Info

Instructor
Departments
As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Simulations
Recitation Videos