FindArgMax

FindArgMax[f,x] gives the position xmax of a local maximum of f.

• FindArgMax[f,{x,x0}] gives the position xmax of a local maximum of f, found by a search starting from the point x=x0.
• FindArgMax[f,{{x,x0},{y,y0},…}] gives the position {xmax,ymax,…} of a local maximum of a function of several variables.
• FindArgMax[{f,cons},{{x,x0},{y,y0},…}] gives the position of a local maximum subject to the constraints cons.
• FindArgMax[{f,cons},{x,y,…}] starts from a point within the region defined by the constraints.

Examples

(* Find the position of maximum *)
FindArgMax[Sin[x] Exp[-x^2], x]

(* Start from a specific point *)
FindArgMax[x^4 - 3x^2 + x, {x, 1}]

(* Multivariate function *)
FindArgMax[-(x^2 + y^2), {{x, 1}, {y, 1}}]

Please visit the official Wolfram Language Reference for more details.