Unit 2: Differentiation: Definition and Fundamental Properties

A line connecting ____ points on a function, representing the average rate of change.

The exact rate of change at a ____ point, found by taking the limit as the interval approaches zero.

The mathematical tool that allows us to approach something infinitely close without actually ____ it.

A line that touches a curve at just ____ point and shares its direction, whose slope is the instantaneous rate of change.

The fancy name for the instantaneous rate of change, representing the ____ of the tangent line at any given point.