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Tool to determine the maximum value of a function: the maximal value that can take a function. It is a global maximum and not a local maximum.

Answers to Questions

How to calculate a maximum?

For any function f defined on an interval I and m a real of this interval, if f(x) <= f(m) on the interval I then f admits as maximum m over I. The value of the maximum is f(m).

The maximum of a function is found when it's derivative is null and changes of sign, from positive to negative.

The maximum of a function is always defined with an interval (which may be the domain of definition of the function).

What is an extremum?

An extremum is an extreme value of a function, this value can be maximum (one speaks of a maximum of a function) or minimum (one speaks of a minimum of a function).

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