F'(c) = [f(b)-f(a)]/b-a

Definition

This formula represents the average rate of change (slope) between two points on a curve or graph. It calculates how much y changes per unit change in x over an interval [a,b].

Related terms

Derivative:

The derivative represents the instantaneous rate of change (slope) at any given point on a curve or graph. It provides information about how quickly one variable changes with respect to another.

Secant Line:

A secant line is a straight line that intersects a curve at two points. It can be used to approximate the slope of the curve between those two points.

Limit:

The limit is a fundamental concept in calculus that describes the behavior of a function as its input approaches a certain value or infinity. It helps determine the derivative and other important properties of functions.