Source: wikibot/inverse-function-theorem
= Inverse function theorem
{wiki=Inverse_function_theorem}
The Inverse Function Theorem is a fundamental result in differential calculus that provides conditions under which a function has a differentiable inverse. It states the following: \#\#\# Statement of the Theorem: Let \\( f: U \\to \\mathbb\{R\}^n \\) be a function defined on an open set \\( U \\subseteq \\mathbb\{R\}^n \\). If: 1. \\( f \\) is continuously differentiable in \\( U \\), 2.