What is the extreme f(x,y)=(-4x)/(x^2+y^2+1) ?

The extreme f(x,y)=(-4x)/(x^2+y^2+1) is None

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extreme f(x,y)=(-4x)/(x^2+y^2+1)

extreme points

f (x, y) = \frac{- 4 x}{x ^{2} + y ^{2} + 1}

None

Solution steps

Find the critical points:

None

\frac{- 4 x}{x ^{2} + y ^{2} + 1}

has no critical points, therefore there are no extreme points

None

f (x, y) = x^{2} - 6 x + 10

f (x) = \frac{32 x}{x ^{2} + 16}

2 x \cdot e^{- x + 1} + 4

f (x) = 3 x^{3} + y^{3} - 9 x y + 27

f (x) = 15 + 398 x + 184 y - 9 x^{2} - 2 y^{2} - 8 x y

What is the extreme f(x,y)=(-4x)/(x^2+y^2+1) ?
The extreme f(x,y)=(-4x)/(x^2+y^2+1) is None