BUILT-IN MATHEMATICA SYMBOL

MaxValue

MaxValue[f, x]
gives the maximum value of f with respect to x.

MaxValue[f, {x, y, ...}]
gives the maximum value of f with respect to x, y, ....

MaxValue[{f, cons}, {x, y, ...}]
gives the maximum value of f subject to the constraints cons.

MaxValue[{f, cons}, {x, y, ...}, dom]
gives the maximum value of f over the domain dom, typically Reals or Integers.

Details and Options Details and Options

MaxValue[...] is effectively equivalent to First[Maximize[...]].
MaxValue gives the supremum of values of f. It may not be attained for any values of x, y, ....
cons can contain equations, inequalities or logical combinations of these.
If f and cons are linear or polynomial, MaxValue will always find a global maximum.
MaxValue will return exact results if given exact input.
If MaxValue is given an expression containing approximate numbers, it automatically calls NMaxValue.
If no domain is specified, all variables are assumed to be real.
xIntegers can be used to specify that a particular variable can take on only integer values.
If the constraints cannot be satisfied, MaxValue returns -Infinity.