NMaximize

NMaximize[f, x] searches for a global maximum in f numerically with respect to x.

Examples

Global maximum:

NMaximize[Sin[x] + Sin[2x], {x, 0, 10}]
(* {1.76, {x -> 1.04}} *)

With constraints:

NMaximize[{x + y, x^2 + y^2 <= 1}, {x, y}]
(* {1.414, {x -> 0.707, y -> 0.707}} *)

Please visit the official Wolfram Language Reference for more details.