A

mathematical concept stating that a composite

function is a

function composed of two or more smaller simpler

functions.

Consider: c(x) = (sin(x+5))^{3}

This function can be broken down into several other elementary functions:

f(x) = x^{3}

g(x) = sin(x)

h(x) = x + 5

So c(x) can be expressed as f(g(h(x)))

To find derivatives of composition functions you can use the chain rule.