Elementary Algebra
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Intermediate Algebra
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Precalculus I / College Algebra
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Calculus I
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Calculus II
Transcendental Functions
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Calculus III

Course: Calculus I
Topic: Derivatives
Subtopic: Derivatives of Inverse Trig Functions

Overview

We have studied the derivatives of trigonometric functions, but in this lesson we add the derivatives of inverse trig functions. They are derived using the formula for the derivative of a general inverse function given in a previous lesson.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 2.11.1 Apply the appropriate formula to differentiate an inverse trigonometric function
• 2.11.2 Differentiate expressions involving inverse trig functions using the formulae for the derivatives of the inverse trigonometric functions
• 2.11.3 Find the slope and equation of a tangent line to a function involving an inverse trig function

Terminology

Terms you should be able to define: inverse trigonometric function

Mini-Lectures and Examples

Supplementary Resources

If you need to review inverse trigonometric functions from a pre-calculus course before tackling their derivatives, AnalyzeMath: Inverse Trigonometric Functions is an adequate review site. Inverse Trig Functions, Dale Hoffman's Contemporary Calculus goes into more detail.

Supplementary Resources (optional)

Lesson: Calculus with Inverse Trig Functions, Dale Hoffman's Contemporary Calculus
This document includes Calc I and Calc II material. At this point only cover the "derivatives" not "antiderivatives" nor "integrals".

rev. 2020-10-20