References: Related Rates and Linear Approximation

1. Related rates - Wikipedia - Overview of the related rates technique with classic examples including ladder, balloon, and shadow problems. Core reference for the first half of this chapter.

2. Linear approximation - Wikipedia - The tangent line as a local linear approximation, error analysis, and relationship to differentials. Foundational reference for the linearization techniques in this chapter.

3. Differential (mathematics) - Wikipedia - Formal treatment of differentials dx and dy and their use in approximation. Supports the chapter's discussion of differentials and error estimation.

4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Sections 3.9 (related rates) and 3.10 (linear approximations and differentials) provide structured problem-solving strategies with diverse applications.

5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Sections 3.10-3.11 cover related rates and linearization with excellent diagrams for geometric related rates problems.

6. Related Rates - Paul's Online Math Notes - Step-by-step related rates strategy with worked examples including cones, ladders, and expanding circles.

7. Related Rates Problems - Khan Academy - Interactive practice problems on related rates with video solutions covering the AP Calculus required problem types.

8. Linear Approximation and Differentials - Paul's Online Math Notes - Clear examples of tangent line approximation with error analysis and differential notation.

9. Related Rates - Professor Leonard - Thorough lecture walking through the related rates problem-solving framework with multiple classic examples.

10. Linearization and Differentials - Whitman College Calculus - Open-source section covering local linearity and differential approximation with proofs and exercises.