What is the critical f(x,y)=x^2+xy+y^2+y ?

The critical f(x,y)=x^2+xy+y^2+y is (1/3 ,-2/3)

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critical f(x,y)=x^2+xy+y^2+y

critical points

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

(\frac{1}{3}, - \frac{2}{3})

Solution steps

x^{2} + x y + y^{2} + y

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{1}{3}, - \frac{2}{3})

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

x^{2} y - x^{2} - 2 y^{2}

f (x) = x^{2} e^{2 x}

\frac{x}{- x + 1}

2 sin (x)

What is the critical f(x,y)=x^2+xy+y^2+y ?
The critical f(x,y)=x^2+xy+y^2+y is (1/3 ,-2/3)