Local and Global Extrema

Definition

Local extrema refer to maximum or minimum values of a function within an open interval. Global extrema refer to maximum or minimum values of a function over its entire domain.

Related terms

Critical Points:

These are points on a function where the derivative is either zero or undefined.

Absolute Extrema:

These are the highest and lowest values of a function over its entire domain.

Closed Interval Method: This method involves evaluating the function at its critical points and endpoints to find local extrema.