Calculus
Textbooks
Boundless Calculus
Derivatives and Integrals
Applications of Differentiation
Calculus Textbooks Boundless Calculus Derivatives and Integrals Applications of Differentiation
Calculus Textbooks Boundless Calculus Derivatives and Integrals
Calculus Textbooks Boundless Calculus
Calculus Textbooks
Calculus
Concept Version 8
Created by Boundless

Concavity and the Second Derivative Test

Maxima and Minima

Maxima and Minima

Telling whether a critical point is a maximum or a minimum has to do with the second derivative. If it is concave-up at the point, it is a minimum; if concave-down, it is a maximum.

Source

    Boundless vets and curates high-quality, openly licensed content from around the Internet. This particular resource used the following sources:

    "Maxima and minima."
    http://en.wikipedia.org/wiki/Maxima_and_minima Wikipedia CC BY.

Related Terms

  • local maximum
  • local minimum
  • critical point
  • Subjects
    • Accounting
    • Algebra
    • Art History
    • Biology
    • Business
    • Calculus
    • Chemistry
    • Communications
    • Economics
    • Finance
    • Management
    • Marketing
    • Microbiology
    • Physics
    • Physiology
    • Political Science
    • Psychology
    • Sociology
    • Statistics
    • U.S. History
    • World History
    • Writing

    Except where noted, content and user contributions on this site are licensed under CC BY-SA 4.0 with attribution required.