18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Implicit Differentiation and Inverse Functions

Session 15: Implicit Differentiation and Inverse Functions

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Overview

An important application of implicit differentiation is to finding the derivatives of inverse functions. Here we find a formula for the derivative of an inverse, then apply it to get the derivatives of inverse trigonometric functions.

Lecture Video and Notes

Video Excerpts

Clip 1: Derivative of the Inverse of a Function

Clip 2: Derivative of the Arctan Function

Recitation Video

Graphing the Arctan Function

Lecture Video and Notes

Video Excerpts

Clip 1: Derivative of the Arcsin Function

Recitation Video

Derivative of the Arccos Function

Worked Example

Derivative of the Square Root 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