Calculus Course/Rate of Change

Rate of Change

Rate of Change is used to describe the ratio of a change in one variable compare to a change of another variable

If there is a function f(x) = y then the rate of change of the function f(x) correspond to the rate of change of variable z is

$\frac{\Delta y}{\Delta x} = \frac {\Delta f(x)}{\Delta x}$

Example

If there are two points $(1,3) and (2,7))$

$\frac{\Delta y}{\Delta x} = \frac {\Delta f(x)}{\Delta x} = \frac{7-3}{2-1} = 4$