The critical points of f{x,y) = 2x3 - 15x2 + 24x - Y2 - 63! + 1 occur at the points (1 , - 3} and (4 , -3). Then the function f has: ,4" I; 5:3 a local maximum at {4 , -3} and a local minimum at {1 , -3l '\\ /' I; 9:3 a local maximum at {4 , -3} and a saddle point at [1 , -3) \\. (":3 saddle point at [1 , -3) and (4 , -3l '\\ 15"\"). a local minimum at [4 , - 3} and a saddle point at {1 , -3) \\. f I: a local maximum at {1 , - 3} and a saddle mint at l4 ' _ 3) \\