noun
local minimum
Mathematical term for the smallest value of a function in a neighborhood; contrast with 最小値 (global minimum).
この関数の極小値を求めなさい。
Find the local minimum of this function.
グラフには二つの極小値がある。
The graph has two local minima.
極大値 is the local maximum, the opposite of 極小値.
Compound of 極 (extreme) + 小 (small) + 値 (value), directly corresponding to the mathematical concept of a local minimum.