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

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

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

extreme points

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

None

Solution steps

Find the critical points:

None

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

has no critical points, therefore there are no extreme points

None

f (x) = \frac{1}{3} x^{3} + \frac{1}{2} x^{2} - 6 x + 8

f (x) = x^{\frac{2}{3}}

f (x, y) = 9 - 2 x + 4 y - x^{2} - 4 y^{2}

f (x) = x^{2} e^{- x}, - 1 \leq x \leq 1

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

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