Find the critical points of the following function. Use the Second Derivative Test to determine​ (if possible) whether each critical point corresponds to a local​ maximum, local​ minimum, or saddle point. Confirm your results with a graphing utility.   f left parenthesis x comma y right parenthesis equals x Superscript 4 Baseline plus 3 x squared left parenthesis y minus 2 right parenthesis plus 4 left parenthesis y minus 1 right parenthesis squaredf(x,y)=x4+3x2(y−2)+4(y−1)2       Question content area bottom Part 1 What are the critical​ points?   enter your response here ​(Type an ordered pair. Use a comma to separate answers as​ needed.)

Find the critical points of the following function. Use the Second Derivative Test to determine​ (if possible) whether each critical point corresponds to a local​ maximum, local​ minimum, or saddle point. Confirm your results with a graphing utility.

 

f left parenthesis x comma y right parenthesis equals x Superscript 4 Baseline plus 3 x squared left parenthesis y minus 2 right parenthesis plus 4 left parenthesis y minus 1 right parenthesis squaredf(x,y)=x4+3x2(y−2)+4(y−1)2

What are the critical​ points?

 

enter your response here

​(Type an ordered pair. Use a comma to separate answers as​ needed.)