References: Inverse Function Derivatives

1. Inverse function - Wikipedia - Definition, existence conditions, and graphical relationship of inverse functions. Essential prerequisite background for the derivative formulas developed in this chapter.

2. Inverse trigonometric functions - Wikipedia - Comprehensive coverage of all six inverse trig functions including domains, ranges, and derivative formulas. Core reference for this chapter's main content.

3. Inverse function theorem - Wikipedia - The theorem guaranteeing invertibility of differentiable functions with non-zero derivatives. Provides the theoretical basis for the reciprocal derivative formula.

4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Section 3.6 covers inverse trig derivatives; Section 6.1 develops the general inverse function derivative formula with visual interpretations.

5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Section 3.8 provides clear derivations of inverse trig derivative formulas using implicit differentiation and right triangle diagrams.

6. Derivatives of Inverse Trig Functions - Paul's Online Math Notes - All six inverse trig derivative formulas with proofs and examples showing how to apply them with the chain rule.

7. Inverse Trig Derivatives - Khan Academy - Practice problems on derivatives of arcsin, arccos, and arctan with step-by-step video solutions aligned to AP curriculum.

8. Derivatives of Inverse Functions - Professor Leonard - Thorough lecture covering the reciprocal slope property geometrically before deriving inverse trig formulas algebraically.

9. Inverse Trig Functions Reference - Math is Fun - Visual guide to inverse trig functions with domain/range tables and graphs, complementing the chapter's domain restriction MicroSim.

10. Inverse Function Derivatives - Whitman College Calculus - Open-source section deriving the general inverse function derivative and applying it to inverse trig functions.