Find all points (x, y) where $f ( x , y ) = x ^ { 3 } - 12 y + y ^ { 2 }$ has a possible relative maximum or minimum. Use the second-derivative test to determine, if possible, the nature of f(x, y) at each of these points.
A) Test Inconclusive
B) (0, 6) gives a relative maximum
C) (0, 0) gives a relative minimum
D) (0, 0) gives a relative maximum

Question

Quizplus · Accepted Answer

The Answer of Find all points (x, y) where $f ( x , y ) = x ^ { 3 } - 12 y + y ^ { 2 }$ has a possible relative maximum or minimum. Use the second-derivative test to determine, if possible, the nature of f(x, y) at each of these points.
A) Test Inconclusive
B) (0, 6) gives a relative maximum
C) (0, 0) gives a relative minimum
D) (0, 0) gives a relative maximum

Find All Points (X, Y) Where f(x,y)=x3−12y+y2f ( x , y ) = x ^ { 3 } - 12 y + y ^ { 2 }f(x,y)=x3−12y+y2

Find All Points (X, Y) Where $f ( x , y ) = x ^ { 3 } - 12 y + y ^ { 2 }$