The interior extremum theorem, also known as Fermat's theorem after the French mathematician Pierre de Fermat, states that any local extremum of a real function at a point where the function is differentiable must be a stationary point, meaning its derivative is zero there. The theorem gives a necessary but not sufficient condition for a local extremum, since some stationary points are not extrema, and while the second derivative can help distinguish a maximum from a minimum, it can also vanish at a genuine extremum. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Statement FormCharacterization Theorem 1 Connections
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
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Source Interior Extremum Theorem (Wikipedia)
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1. Interior Extremum Theorem (Wikipedia)
In Branch: Real Analysis, Lead sentenceQuote, In Branch: Real Analysis, Lead sentence
In calculus and real analysis, the interior extremum theorem states that any local extremum of a real function at which it is diff
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