Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Derivatives of Inverse Functions
License:
Creative Commons Attribution-NonCommercial 4.0
Language:
English
Media Formats:
eBook, Interactive

Education Standards (1)

Derivatives of inverse functions modules

Overview

After completing this section, students should be able to do the following.

  • Find derivatives of inverse functions in general.
  • Recall the meaning and properties of inverse trigonometric functions.
  • Derive the derivatives of inverse trigonometric functions.
  • Understand how the derivative of an inverse function relates to the original derivative.
  • Take derivatives which involve inverse trigonometric functions.

We can figure it out

Ximera Module

Two young mathematicians discuss the derivative of inverse functions.

Derivatives of inverse trigonometric functions

Ximera Module

We derive the derivatives of inverse trigonometric functions using implicit differentiation.

The Inverse Function Theorem

Ximera Module

We see the theoretical underpinning of finding the derivative of an inverse function at a point.