# Maximum

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### Definitions from Wordnet 2.0

• the greatest possible degree; "he tried his utmost"
• the point on a curve where the tangent changes from positive on the left to negative on the right
• the largest possible quantity
• the greatest or most complete or best possible; "maximal expansion"; "maximum pressure"

### Definitions from Wiktionary

• the largest possible quantity ,
• the greatest possible degree; "he tried his utmost" ,
• the point on a curve where the tangent changes from positive on the left to negative on the right

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### Maximum Meaning and Definition in Wikipedia

In mathematics, the maximum and minimum of a function are the largest and smallest value that the function takes at a given point. Together they are known as the extrema (singular: extremum).

Minimum means the least you can do of something. For example, if the minimum amount of dollars you must pay for something is seven, then you can not pay six dollars or less (you must pay at least seven). You can do more than the minimum, but no less. Maximum means the most you can have of something. For example, if the maximum amount of oranges you can juggle is five, you can not juggle more than five oranges. You can do the maximum or less.

For a differentiable function f {\displaystyle f} , if f ( x 0 ) {\displaystyle f(x_{0})} is an extreme value for the set of all values f ( x ) {\displaystyle f(x)} , and if x 0 {\displaystyle x_{0}} is in the interior of the domain of f {\displaystyle f} , then x 0 {\displaystyle x_{0}} is a critical point, by Fermat's theorem.

### 'Maximum' example sentence in quotations

* In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger. I do not shrink from this responsibility-I welcome it. - John Fitzgerald Kennedy

* There are countless ways of achieving greatness, but any road to achieving one's maximum potential must be built on a bedrock of respect for the individual, a commitment to excellence, and a rejection of mediocrity. - Buck Rodgers

* The journalistic vision sharpens to the point of maximum impact every event, every individual and social configuration but the honing is uniform. - George Steiner

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