OurBigBook About$ Donate
 Sign in+ Sign up
by Ciro Santilli (@cirosantilli, 37)

Maxima and minima

 Home Mathematics Area of mathematics Calculus Derivative
 0 By others on same topic  0 Discussions  Updated 2025-05-09  +Created 1970-01-01  See my version
Given a function f:
  • from some space. For beginners the real numbers but more generally topological spaces should work in general
  • to the real numbers
we want to find the points x of the domain of f where the value of f is smaller (for minima, or larger for maxima) than all other points in some neighbourhood of x.
In the case of Functionals, this problem is treated under the theory of the calculus of variations.
  • Table of contents
    • Lifegard problem Maxima and minima
    • Derivative test Maxima and minima
    • Saddle point Maxima and minima

Lifegard problem

 0  0 
Maxima and minima
pumphandle.consulting/2020/09/04/the-lifeguard-problem-solved/

Derivative test

 0  0 
Maxima and minima

Saddle point

 1  0 
Maxima and minima

 Tagged (1)

  • Calculus of variations

 Ancestors (5)

  1. Derivative
  2. Calculus
  3. Area of mathematics
  4. Mathematics
  5.  Home

 Incoming links (3)

  • Calculus of variations
  • Euler-Lagrange equation
  • Stationary action principle

 View article source

 Discussion (0)

+ New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic + Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook