{{ option.label }} add
menu_book {{ printedBook.name}}
arrow_left {{ state.menu.current.label }}
{{ option.icon }} {{ option.label }} arrow_right
arrow_left {{ state.menu.current.current.label }}
{{ option.icon }} {{ option.label }}
arrow_left {{ state.menu.current.current.current.label }}
{{ option.icon }} {{ option.label }}
Mathleaks
Use offline
Expand menu menu_open

Absolute Minimum Maximum

tune
{{ topic.label }}
{{ result.displayTitle }}
{{ result.subject.displayTitle }}
navigate_next

Concept

Absolute Minimum and Maximum

The absolute minimum, or global minimum, of a function is the least output in its whole domain.
Absolute minimum of a quartic function

The absolute maximum, or global maximum, of a function is defined in a similar way. It is the greatest output of the function in its whole domain.

Absolute maximum of a quartic function
The absolute maximum of a function is also a relative maximum, and the absolute minimum is also a relative minimum. If a function increases indefinitely, it does not have an absolute maximum. Likewise, if a function decreases indefinitely, it does not have an absolute minimum. The function might still have relative extrema.
Different functions with different extrema
close
Community (beta)