What is the extreme f(x,y)=(xy+x-y+2)/(x^2y+1) ?

The extreme f(x,y)=(xy+x-y+2)/(x^2y+1) is None

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extreme f(x,y)=(xy+x-y+2)/(x^2y+1)

extreme points

f (x, y) = \frac{x y + x - y + 2}{x ^{2} y + 1}

None

Solution steps

Find the critical points:

None

\frac{x y + x - y + 2}{x ^{2} y + 1}

has no critical points, therefore there are no extreme points

None

f (x, y) = x^{10} - y^{10} - 10 x + 10 y - 1

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

f (x) = 1 - 2 x^{2}

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

f (x) = 1 - x^{3}

What is the extreme f(x,y)=(xy+x-y+2)/(x^2y+1) ?
The extreme f(x,y)=(xy+x-y+2)/(x^2y+1) is None