What is the rate of change

The rate of change, also known as the slope, is a measure of how much a quantity changes in relation to another quantity. It is typically calculated as the ratio of the change in the dependent variable (y) to the change in the independent variable (x) in a given interval.

Mathematically, the rate of change between two points (x1, y1) and (x2, y2) can be calculated using the formula:

Rate of change = (y2 - y1) / (x2 - x1)

The rate of change can indicate the speed or direction of change of a variable. In calculus, the rate of change is expressed as the derivative of a function, which represents the instantaneous rate of change at a specific point.

can u make it smaller pls

The rate of change, also called slope, measures how a quantity changes relative to another quantity. It is calculated as the change in the dependent variable divided by the change in the independent variable. In math, it can be expressed as:

Rate of change = (change in y) / (change in x)

The rate of change indicates the speed or direction of change. In calculus, it is represented by the derivative, which gives the instantaneous rate of change at a specific point.

one short answer = slope

another short answer = first derivative

The rate of change is the slope or the first derivative of a function.