MAXIMUM

adj. greatest, most, utmost, highest

n. greatest quantity or amount possible; highest capacity, most possible; height, peak, limit

The largest and the smallest element of a set are called extreme values, absolute extrema, or extreme records.For a differentiable function , if is an extreme value for the set of all values , and if is in the interior of the domain of , then is a critical point, by Fermat's theorem.
See more at Wikipedia.org...

Noun
1. the largest possible quantity
(synonym) upper limit
(antonym) minimum, lower limit
(hypernym) extremum, peak
(derivation) maximize, maximise
2. the greatest possible degree; "he tried his utmost"
(synonym) utmost, uttermost, level best
(hypernym) limit, bounds, boundary
(derivation) maximize, maximise
3. the point on a curve where the tangent changes from positive on the left to negative on the right
(antonym) minimum
(hypernym) limit
Adjective
1. the greatest or most complete or best possible; "maximal expansion"; "maximum pressure"
(synonym) maximal
(antonym) minimal, minimum
(similar) greatest, top

n. maximum, max, of the greatest degree, peak, superlative; greatest quantity; limit

adj. maximum, utmost

n. maximum, culmination, uttermost