Category:Minimum Value of Real Function
Let $f: \R \to \R$ be a real function.
It may or may not be the case that $\exists x \in \R: \map f x = B$.
If such a value exists, it is called the minimum value of $f$ on $S$, and this minimum is attained at $x$.
Let $\xi \in \openint a b$.
Then $f$ has a local minimum at $\xi$ if and only if:
- $\exists \openint c d \subseteq \openint a b: \forall x \in \openint c d: \map f x \ge \map f \xi$
This category currently contains no pages or media.