Maximize

Maximize[f, x] maximizes f symbolically with respect to x.

Examples

Symbolic maximum:

Maximize[-x^2 + 4x + 5, x]
(* {9, {x -> 2}} *)

With constraints:

Maximize[{x + y, x^2 + y^2 <= 1}, {x, y}]
(* {Sqrt[2], {x -> 1/Sqrt[2], y -> 1/Sqrt[2]}} *)

Please visit the official Wolfram Language Reference for more details.