# Maximum and minimum

(Redirected from Minimum)
For a differentiable function ${\displaystyle f}$, if ${\displaystyle f(x_{0})}$ is an extreme value for the set of all values ${\displaystyle f(x)}$, and if ${\displaystyle x_{0}}$ is in the interior of the domain of ${\displaystyle f}$, then ${\displaystyle x_{0}}$ is a critical point, by Fermat's theorem.