NMinimize

NMinimize[f, x] searches for a global minimum in f numerically with respect to x.

Examples

Global minimum:

NMinimize[Sin[x] + Sin[2x], {x, 0, 10}]
(* {-1.76, {x -> 5.24}} *)

With constraints:

NMinimize[{x^2 + y^2, x + y >= 1}, {x, y}]
(* {0.5, {x -> 0.5, y -> 0.5}} *)

Please visit the official Wolfram Language Reference for more details.