College Board AP Calculus BC calculus-bc · 2
Differentiation: Definition and Fundamental Properties
- Code
- 2
- Topic of
- College Board AP Calculus BC calculus-bc
- Course
- AP Calculus BC calculus-bc
- Board
- College Board
Codes and titles are read by a script from College Board's published specification and have not been checked by a person. What each point covers is in the specification itself: College Board’s specification.
Points under 2
- 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
Topics in calculus-bc
- 1 Limits and Continuity
- 2 Differentiation: Definition and Fundamental Properties
- 3 Differentiation: Composite, Implicit, and Inverse Functions
- 4 Contextual Applications of Differentiation
- 5 Analytical Applications of Differentiation
- 6 Integration and Accumulation of Change
- 7 Differential Equations
- 8 Applications of Integration
- 9 Parametric Equations, Polar Coordinates, and Vector-Valued Functions
- 10 Infinite Sequences and Series