References: Implicit Differentiation

1. Implicit function - Wikipedia - Defines implicit vs. explicit functions and introduces the implicit function theorem. Provides theoretical context for why implicit differentiation is needed.

2. Implicit function theorem - Wikipedia - Rigorous conditions under which implicit curves can be locally expressed as functions. Deeper mathematical foundation for the techniques in this chapter.

3. Implicit curve - Wikipedia - Gallery of famous implicit curves including circles, ellipses, and the folium of Descartes. Directly supports the curve examples used in this chapter's MicroSims.

4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Section 3.5 develops implicit differentiation through worked examples of increasing complexity, including tangent lines to implicit curves.

5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Section 3.7 covers implicit differentiation with applications to related rates and tangent lines to conic sections.

6. Implicit Differentiation - Paul's Online Math Notes - Step-by-step examples showing the mechanics of implicit differentiation with clear treatment of the dy/dx chain rule application.

7. Implicit Differentiation - Khan Academy - Interactive practice on implicit differentiation including finding tangent lines, with video explanations aligned to AP curriculum.

8. Implicit Differentiation Explained - Organic Chemistry Tutor - Comprehensive video tutorial with examples covering circles, ellipses, and more complex implicit equations.

9. Implicit Curves Grapher - Desmos - Free online graphing tool supporting implicit equations, useful for visualizing the curves discussed in this chapter.

10. Logarithmic Differentiation - Paul's Online Math Notes - Covers the logarithmic differentiation technique as a special application of implicit differentiation for products and variable exponents.