What is the extreme f(x,y)=log_{10}(((x^2+2*y))/((x+y)^2)) ?

The extreme f(x,y)=log_{10}(((x^2+2*y))/((x+y)^2)) is None

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extreme f(x,y)=log_{10}(((x^2+2*y))/((x+y)^2))

extreme points

f (x, y) = lo g_{10} (\frac{( x ^{2} + 2 \cdot y )}{( x + y ) ^{2}})

None

Solution steps

Find the critical points:

None

lo g_{10} (\frac{x ^{2} + 2 \cdot y}{( x + y ) ^{2}})

has no critical points, therefore there are no extreme points

None

f (x) = y = tan (\frac{π x}{8}), 0 \leq x \leq 2

x^{4} - y^{3} - 2 x^{2} + 3 y + 1

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

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

f (x) = \frac{x ^{3}}{x ^{2} - 36}

What is the extreme f(x,y)=log_{10}(((x^2+2*y))/((x+y)^2)) ?
The extreme f(x,y)=log_{10}(((x^2+2*y))/((x+y)^2)) is None