"Optimum point of a linear programming problem always lies on one of the corner points of the graph’s feasible region" Does this also apply to nonlinear programming ? If not Explain how to get a...

"Optimum point of a linear programming problem always lies on one of the corner points of the graph’s feasible region" Does this also apply to nonlinear programming ?

If not Explain how to get a nonlinear programming answer (max , min) from a graph.

Thanks