What is the extreme F(x,y)=5xy^3-y^4+(x^2)/2 ?

The extreme F(x,y)=5xy^3-y^4+(x^2)/2 is None

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extreme F(x,y)=5xy^3-y^4+(x^2)/2

extreme points

F (x, y) = 5 x y^{3} - y^{4} + \frac{x ^{2}}{2}

None

Solution steps

Find the critical points:

None

5 x y^{3} - y^{4} + \frac{x ^{2}}{2}

has no critical points, therefore there are no extreme points

None

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

f (x, y) = 2 x^{3} - y^{3} - 24 x + 27 y - 2

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

f (x) = \frac{4 x}{x ^{2} - 36}

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

What is the extreme F(x,y)=5xy^3-y^4+(x^2)/2 ?
The extreme F(x,y)=5xy^3-y^4+(x^2)/2 is None