Author:
Jim Fowler
Subject:
Calculus
Material Type:
Module
Level:
College / Upper Division
Provider:
Ohio Open Ed Collaborative
Tags:
  • Derivatives of Inverse Functions
  • License:
    Creative Commons Attribution Non-Commercial
    Language:
    English
    Media Formats:
    eBook, Interactive

    Education Standards

    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.