What is the extreme f(x,y)=2x+xy+2sqrt(y) ?

The extreme f(x,y)=2x+xy+2sqrt(y) is None

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extreme f(x,y)=2x+xy+2sqrt(y)

extreme points

f (x, y) = 2 x + x y + 2 y

None

Solution steps

Find the critical points:

None

2 x + x y + 2 y

has no critical points, therefore there are no extreme points

None

f (x, y) = x^{2} - 7 x y - y^{2}

f (x) = x^{2} + y^{2} + 6 x - 18 y

f (x) = (x - 9)^{2}

f (x) = 2 x^{3} - 3 x + 1

f (x, y) = 3 x y - 6 x - y^{2}

What is the extreme f(x,y)=2x+xy+2sqrt(y) ?
The extreme f(x,y)=2x+xy+2sqrt(y) is None