{"type":"standard","title":"Interior extremum theorem","displaytitle":"Interior extremum theorem","namespace":{"id":0,"text":""},"wikibase_item":"Q727102","titles":{"canonical":"Interior_extremum_theorem","normalized":"Interior extremum theorem","display":"Interior extremum theorem"},"pageid":4142944,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Interior_extremum_graph.svg/320px-Interior_extremum_graph.svg.png","width":320,"height":319},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Interior_extremum_graph.svg/223px-Interior_extremum_graph.svg.png","width":223,"height":222},"lang":"en","dir":"ltr","revision":"1288405152","tid":"c389b6f2-274e-11f0-927b-be1775cdf3bb","timestamp":"2025-05-02T12:12:49Z","description":"Method to find local maxima and minima of differentiable functions on open sets","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Interior_extremum_theorem","revisions":"https://en.wikipedia.org/wiki/Interior_extremum_theorem?action=history","edit":"https://en.wikipedia.org/wiki/Interior_extremum_theorem?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Interior_extremum_theorem"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Interior_extremum_theorem","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Interior_extremum_theorem","edit":"https://en.m.wikipedia.org/wiki/Interior_extremum_theorem?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Interior_extremum_theorem"}},"extract":"In mathematics, the interior extremum theorem, also known as Fermat's theorem, is a theorem which states that at the local extrema of a differentiable function, its derivative is always zero. It belongs to the mathematical field of real analysis and is named after French mathematician Pierre de Fermat.","extract_html":"
In mathematics, the interior extremum theorem, also known as Fermat's theorem, is a theorem which states that at the local extrema of a differentiable function, its derivative is always zero. It belongs to the mathematical field of real analysis and is named after French mathematician Pierre de Fermat.
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