AP Calculus Unit 2: Differentiation — Definition & Fundamental Properties

Entire Unit 2 Bundle            Differentiation Bundle (units 1-5)          ALL AB Units Bundle

AP Calculus Unit 2 introduces differentiation and the fundamental properties of derivatives. Learn how derivatives are defined, interpreted, and calculated using limits, derivative notation, and essential differentiation rules. Explore the complete Unit 2 Mega Smart Notes and follow the accompanying video lessons to master each concept step by step.

2.1 Average & Instantaneous Rates of Change (Mega Smart Notes)

Learn how to calculate and interpret average and instantaneous rates of change. Explore average rate of change as the slope of a secant line, work with functions, tables, graphs, and piecewise functions, and see how shrinking an interval transforms the secant line into a tangent line. Finally, connect instantaneous rate of change to the derivative and learn how to recognize derivative expressions written as limits.

▶ Video 1: What Is a Limit?