What is the extreme f(x,y)=x^3+xy^2+y^2-4y+11 ?

The extreme f(x,y)=x^3+xy^2+y^2-4y+11 is None

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extreme f(x,y)=x^3+xy^2+y^2-4y+11

extreme points

f (x, y) = x^{3} + x y^{2} + y^{2} - 4 y + 11

None

Solution steps

Find the critical points:

None

x^{3} + x y^{2} + y^{2} - 4 y + 11

has no critical points, therefore there are no extreme points

None

8 + 2 x - 2 x^{2}

f (x, y) = 10 x^{2} + 7 x y + 8 y^{2} + 8 x y^{2} + 9 x^{2} y

f (x) = 9 - x, - 1 \leq x \leq 3

\frac{( x ^{3} + 9 )}{( x ^{2} + 4 )}

f (x) = (12 - 2 x) (12 - 2 x) x

What is the extreme f(x,y)=x^3+xy^2+y^2-4y+11 ?
The extreme f(x,y)=x^3+xy^2+y^2-4y+11 is None