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local maximum

[local maximum|local maximum] is a point on a function where the value is greater than its neighboring points, indicating a transition from increasing to decreasing behavior.

Definition

local maximum is a point on a function where the value is greater than its neighboring points, indicating a transition from increasing to decreasing behavior.

Mechanism

local maximum To approximate the local maximum of the function, identify an interval (a, c) where a < b < c. Within this interval, the function value at x = b is greater than or equal to all other values.

Causes

local maximum The graph attains a local maximum at x = 1 because it is the highest point in an open interval around x = 1.