Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
Algebra II / E&I Algebra
Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III
Sequences and Infinite Series Power Series Vectors and Geometry of Space Vector-Valued Functions
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
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

Define: inverse trigonometric function

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".