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.
Think of finding global extrema as searching for treasure buried along a path. You would check both ends of the path (endpoints) and any suspicious spots along the way (critical points) to see if they contain valuable items.
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.
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