what is the condition for maxima
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Explanation:
A function f has a local maximum or relative maximum at a point xo if the values f(x) of f for x 'near' xo are all less than f(xo).
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If a function is continuous on a closed interval, then by the extreme value theorem, global maxima and minima exist. Furthermore, a global maximum (or minimum) either must be a local maximum (or minimum) in the interior of the domain, or must lie on the boundary of the domain.
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