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Unit 2

AP Calculus AB Unit 2: Differentiation: Definition and Fundamental Properties

10–15% of the multiple-choice section · 10 topics

Average and instantaneous rates of change, the derivative defined as a limit, where a derivative exists, and the first derivative rules: power, sum, product, quotient, and the derivatives of the trigonometric, exponential and logarithmic functions.

Topics

  1. 2.1Defining Average and Instantaneous Rates of Change at a Point
  2. 2.2Defining the Derivative of a Function and Using Derivative Notation
  3. 2.3Estimating Derivatives of a Function at a Point
  4. 2.4Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
  5. 2.5Applying the Power Rule
  6. 2.6Derivative Rules: Constant, Sum, Difference, and Constant Multiple
  7. 2.7Derivatives of cos x, sin x, eˣ, and ln x
  8. 2.8The Product Rule
  9. 2.9The Quotient Rule
  10. 2.10Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions

Unit check

10 questions drawn from every lesson in Unit 2. Each wrong answer links back to where the idea is taught.

Take the Unit 2 check