Unit 2: Differentiation: Definition and Fundamental Properties

How is the slope of a tangent line related to the derivative of a function at a point?
How do we use the power rule, product rule, and quotient rule to find derivatives of complex functions?
What is the relationship between a function's derivative and its graphical behavior (increasing/decreasing, concavity)?
What is the connection between continuity and differentiability?

2.1 Defining Average and Instantaneous Rate 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
2.5 Applying the Power Rule
2.6 Derivative Rules: Constant, Sum, Difference, and
Constant Multiple
2.7 Derivatives of cos(x), sin(x), e^x, and ln(x)
2.8 The Product Rule
2.9 The Quotient Rule
2.10 Derivatives of tan(x), cot(x), sec(x), and csc(x)

College Board AP Classroom assessments