What is the extreme f(x,y)= y/(x+y^3) ?

The extreme f(x,y)= y/(x+y^3) is None

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extreme f(x,y)= y/(x+y^3)

extreme points

f (x, y) = \frac{y}{x + y ^{3}}

None

Solution steps

Find the critical points:

None

\frac{y}{x + y ^{3}}

has no critical points, therefore there are no extreme points

None

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

f (x) = 8 x - \frac{8 x ^{2}}{2} - x y^{2} + \frac{8 y ^{2}}{16} + 7

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

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

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