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References: Product, Quotient, and Transcendental Derivatives

  1. Product rule - Wikipedia - Proof, geometric interpretation, and extensions of the product rule. Provides the theoretical foundation for the first major rule introduced in this chapter.

  2. Quotient rule - Wikipedia - Derivation from the product and chain rules, with examples and common student pitfalls. Complements the chapter's treatment of rational function differentiation.

  3. Trigonometric functions - Wikipedia - Derivatives of all six trig functions with proofs from the limit definition. Essential reference for the transcendental derivative formulas in this chapter.

  4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Sections 3.2-3.3 cover the product and quotient rules, then derivatives of trig, exponential, and logarithmic functions with rich applications.

  5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Sections 3.5-3.7 provide systematic coverage of transcendental derivatives with helpful derivative tables and mnemonics.

  6. Product and Quotient Rule - Paul's Online Math Notes - Clear worked examples showing when to use each rule, with guidance on simplification and common errors.

  7. Derivatives of Trig Functions - Khan Academy - Interactive practice on derivatives of sin, cos, tan, and their reciprocals with AP-aligned problems.

  8. Derivatives of Exponential and Logarithmic Functions - Paul's Online Math Notes - Covers derivatives of e^x, a^x, ln(x), and log_a(x) with proofs and applications.

  9. Product Rule Visualization - 3Blue1Brown - Geometric animation showing why the product rule works using area interpretation, building visual intuition beyond formulas.

  10. Derivatives of Trig Functions - Math is Fun - Quick reference with visual proofs of the six trig derivative formulas, complementing the chapter's Trig Derivative Cycle MicroSim.