Let f left parenthesis x comma y right parenthesis equals cosleft parenthesis pi space x right parenthesis plus 3 y squaredminus 6 y. Which of the following are TRUE? Select ALL that apply.a. f has a saddle point at left parenthesis k comma 1 rightparenthesis whenever k is an odd integer b. f has a saddle point atleft parenthesis k comma 1 right parenthesis whenever k is an eveninteger c. f has a local minimum at left parenthesis k comma 1right parenthesis whenever k is an odd integer d. f has a localmaximum at left parenthesis k comma 1 right parenthesis whenever kis an even integer
