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Local Minimum

Definition

A local minimum refers to the lowest point of a function within a specific interval. It is lower than all nearby points but may not be lower than all other points on the entire function.

Related terms

Absolute Minimum: An absolute minimum refers to the lowest point of an entire function across its entire domain.

Increasing Interval: An increasing interval is an interval on which every y-value (output) of a function is greater than any previous y-value within that interval.

First Derivative Test: The first derivative test helps determine whether critical points are relative maxima or minima by analyzing intervals of increase and decrease based on derivatives.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.