# AP Calculus Unit 2.1 Rates of Change

- Author:
- jeromeawhite

- Topic:
- Calculus

Construction used in AP Daily video Unit 2.1 (2020-21 academic year), intended to show how:

- "average rate of change" may be interpreted as the slope of a secant line over an interval
- "instantaneous rate of change" (a.k.a. derivative) may be interpreted as the slope of a tangent line at a single input value
- instantaneous rate of change is the limit of the average rate of change as the width of the interval shrinks to zero.