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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

Recitation Video

Graphing the Arctan Function

Lecture Video and Notes

Video Excerpts

Recitation Video

Derivative of the Arccos Function

Worked Example

Derivative of the Square Root Function

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Course Features

grading Exams - Solutions
grading Exams - Solutions
laptop_windows Interactive simulations - Applet
laptop_windows Interactive simulations - Applet