AP Calculus AB and BC - Differentiation: Definition and Basic Derivative Rules

- Introduction.
- 2.1 Defining Average and Instantaneous Rates of Change at a Point.
- 2.2 Defining the Derivative of a Function and Using Derivative Notation.
- 2.3 Estimating Derivatives of a Function at a Point.
- 2.4 Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist.
- 2.5 Applying the Power Rule.
- 2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple.
- 2.7 Derivatives of cosx, sinx, ex, and lnx.
- 2.8 The Product Rule.
- 2.9 The Quotient Rule.
- 2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions.
- Summary.