3: Derivatives Last updated Jan 17, 2020 Save as PDF 2.7E: Precise Definition of Limit EXERCISES 3.1: Prelude to Derivatives Page ID32772 OpenStaxOpenStax ( \newcommand{\kernel}{\mathrm{null}\,}\) 3.1: Prelude to Derivatives3.2: Definition of the Derivative3.3: The Derivative as a Function3.4: (and 3.4) Differentiation Rules3.5: Derivatives of Trigonometric Functions3.6: Derivatives as Rates of Change3.7: Rates of Change Exercises3.8: The Chain Rule3.9: Chain Rule Exercises3.0E: Exercises3.10: Implicit Differentiation3.11: Implicit Differentiation Exercises3.12: Derivatives of Ln, General Exponential and Log Functions; and Logarithmic Differentiation3.13: Derivatives Ln, etc. Exercises3.14: Derivatives of Inverse Trig Functions3.15: Inverse Trig Derivatives Exercises3.1E: Definition of the Derivative (Exercises)3.2E: Derivative as a Function Exercises3.3E: Both 3.3 and 3.4 Exercises3.5E: Trig Derivatives Exercises