Smooth functions
= Smooth functions
{wiki=Smooth_functions}
In mathematics, a smooth function is a type of function that has derivatives of all orders. More formally, a function \\( f: \\mathbb\{R\}^n \\to \\mathbb\{R\} \\) is considered to be smooth if it is infinitely differentiable, meaning that not only does the function have a derivative, but all of its derivatives exist and are continuous.