Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator to graph the function with a domain and viewpoint that reveals all the important aspects of the function. Please answer the three-part question, the answer choices are listed in the sub-bullets.

f(x,y)=2x36x+6xy2

• Find the local maximum value(s)
  • -4
  • 4
  • 6
  • None
• Local minimum value(s)
  • -4
  • 4
  • 2
  • None
• Saddle point(s)
  • (0,1) and (0,-1)
  • (0,1) and (1,-1)
  • (1,1) and (0,-1)
  • None