Calculus Course/Change in Variable

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Change in VariableEdit

A Change in variable is a term used to express the diffeence between 2 variables . Let \Delta represents Change in 2 variables x_0 and x then

\Delta x=x-x_0
x=x_0+\Delta x

If there is a function f(x) such that when x change by an amount \Delta x the change in function will be

\Delta f(x)=f(x)-f(x_0)
f(x)=f(x_0)+\Delta f(x)

ExampleEdit

There are 2 points (1,3) (5,7) then

\Delta x=x-x_0=5-1=4
\Delta f(x)=7-3=4