What is the extreme f(x,y)=6-2x-3y ?

The extreme f(x,y)=6-2x-3y is None

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extreme f(x,y)=6-2x-3y

extreme points

f (x, y) = 6 - 2 x - 3 y

None

Solution steps

Find the critical points:

None

6 - 2 x - 3 y

has no critical points, therefore there are no extreme points

None

f (x, y) = x^{3} + 3 x^{2} y + y^{3} - y

x^{3} + 3 x y^{2} - 39 x - 36 y + 36

f (x, y) = 62 x^{4} + 62 y^{4} - 4 x y + 15

f (x) = 4 y - 4 - x

f (x) = \frac{4 x}{x ^{2} - 9}