# Fundamental Mathematics/Arithmetic/Change in variables

## Change in variables

Mathematical operation to find change in variables of a function . Change in variable is denoted as

${\displaystyle \Delta }$

Example

Change in function's variable ${\displaystyle \Delta x}$
Change in function variable ${\displaystyle \Delta f(x)=\Delta y}$

## Change in variables of function

Given a function of x as

${\displaystyle f(x)=y}$

Change in function's variable x is

${\displaystyle \Delta x=(x+\Delta x)-x}$

Change in function per change in variable x is

${\displaystyle \Delta f(x)=f(x+\Delta x)-f(x)}$