Find the critical points of $f ( x , y ) = x ^ { 3 } - 9 x y + y ^ { 2 }$ and classify each as maximum, minimum or saddle.

Name: Find the critical points of $f ( x , y ) = x ^ { 3 } - 9 x y + y ^ { 2 }$ and classify each as maximum, minimum or saddle.
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Question

Quizplus · Accepted Answer

The Answer is The point (0, 0)is a saddle point.
The point

\left( \frac { 27 } { 2 } , \frac { 243 } { 4 } \right)

is a local minimum.

Find the Critical Points Of f(x,y)=x3−9xy+y2f ( x , y ) = x ^ { 3 } - 9 x y + y ^ { 2 }f(x,y)=x3−9xy+y2

Find the Critical Points Of $f ( x , y ) = x ^ { 3 } - 9 x y + y ^ { 2 }$