Candidates Test for Global Extrema

Definition

The candidates test is used to find potential global extrema (maximum or minimum values) of a function by evaluating it at its endpoints and critical points.

Related terms

First and Second Derivative Tests for Local Extrema:

These tests focus on identifying local extrema within an interval rather than considering all possible intervals.

Concavity:

It refers to whether a graph is curving upward (concave up) or downward (concave down).

Inflection Points:

These are points where the concavity of a graph changes, indicating possible changes in curvature.