CourseCourseQ BankQuestion BankDocsDocuments
AP Calculus AB
Unit 1: Limits and Continuity
Unit 2: Differentiation: Definition and Fundamental Properties
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 cos x, sin x, eˣ, and ln x
2.8 The Product Rule
2.9 The Quotient Rule
2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Unit 4: Contextual Applications of Differentiation
Unit 5: Analytical Applications of Differentiation
Unit 6: Integration and Accumulation of Change
Unit 7: Differential Equations
Unit 8: Applications of Integration
AP/Calculus AB/Concept/Unit 2: Differentiation: Definition and Fundamental Properties

Unit 2: Differentiation: Definition and Fundamental Properties

Syllabus
2020
Section
—
Level
—

Exam analysis

Most tested topics

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