Fiveable
Fiveable

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.

collegeable - rocket pep

Are you a college student?

  • Study guides for the entire semester

  • 200k practice questions

  • Glossary of 50k key terms - memorize important vocab



© 2024 Fiveable Inc. All rights reserved.

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


© 2024 Fiveable Inc. All rights reserved.

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