Local Maximum

Definition

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

Related terms

Absolute Maximum:

An absolute maximum refers to the highest point of an entire function across its entire domain.

Decreasing Interval: A decreasing interval is an interval on which every y-value (output) of a function is less than any previous y-value within that interval.

Second Derivative Test:

The second derivative test helps determine whether critical points are relative maxima or minima by analyzing concavity based on derivatives.