NMaxValue

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

• NMaxValue[f, {x, y, ...}] gives the global maximum value of f with respect to x, y, ....
• NMaxValue[{f, cons}, {x, y, ...}] gives the global maximum value of f subject to the constraints cons.
• NMaxValue[..., x ∈ reg] constrains x to be in the region reg.

Examples

Find the maximum of a function:

NMaxValue[Sin[x] Cos[x], x]

Maximum with constraints:

NMaxValue[{x^2 + y^2, x + y <= 1}, {x, y}]

Please visit the official Wolfram Language Reference for more details.