I need help with this problem please and please make it legible.

Find all the local maxima. local minima, and saddle points of the function. f(x,y)=x2 +xy+y2 +5x2y+1 Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. 0 A- Alocal maximum occurs at D. (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are E. (Type an exact answer. Use a comma to separate answers as needed.) 0 B. There are no local maxima. Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. 0 A- Alocal minimum occurs at D. (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) islare |:|. (Type an exact answer. Use a comma to separate answers as needed.) O B. There are no local minima. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- A saddle point occurs at D. (Type an ordered pair. Use a comma to separate answers as needed.) 0 B. There are no saddle points