Definition, Meaning & Synonyms

extremum

noun
/ɪkˈstrimuːm/
Definition
The maximum or minimum value of a function or set of data.
Examples
  • The function f(x) has a local extremum at x = 2.
  • In the dataset, the extremum values were crucial for determining trends.
Meaning
In mathematics, an extremum refers to the highest or lowest point in a specific range or interval. It is often used in calculus and optimization to identify critical points where a function reaches its peak or trough.
Synonyms
  • maximum
  • minimum
  • peak
  • trough