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

The critical f(x,y)=x^4+y^4-2xy^2+x^2y+1 is

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critical f(x,y)=x^4+y^4-2xy^2+x^2y+1

critical points

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

(0, 0), (- 0.09339 \dots, - \frac{0.18678 \dots - 0.00882 \dots}{4}), (1.09510 \dots, - \frac{- 2.19020 \dots + 46.82288 \dots}{4}), (0, 0), (0.37179 \dots, \frac{0.74359 \dots + 2.19759 \dots}{4})

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 0.09339 \dots, - \frac{0.18678 \dots - 0.00882 \dots}{4}), (1.09510 \dots, - \frac{- 2.19020 \dots + 46.82288 \dots}{4}), (0, 0), (0.37179 \dots, \frac{0.74359 \dots + 2.19759 \dots}{4})

y = \frac{e ^{3 x}}{x + 2}

f (x) = 25 - x^{2} - y^{2}

\frac{3 x ^{2}}{x ^{2} - 16}

f (x) = \frac{x ^{2} - 4 x}{( x - 2 ) ^{2}}

f (x) = x^{2} e^{6 x}

What is the critical f(x,y)=x^4+y^4-2xy^2+x^2y+1 ?
The critical f(x,y)=x^4+y^4-2xy^2+x^2y+1 is