What is the critical f(x,y)=x^4+y^4+8y^3+6x^2y^2 ?

The critical f(x,y)=x^4+y^4+8y^3+6x^2y^2 is (0,0),(0,-6),(0,0),(0,0)

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critical f(x,y)=x^4+y^4+8y^3+6x^2y^2

critical points

f (x, y) = x^{4} + y^{4} + 8 y^{3} + 6 x^{2} y^{2}

(0, 0), (0, - 6), (0, 0), (0, 0)

Solution steps

x^{4} + y^{4} + 8 y^{3} + 6 x^{2} y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (0, - 6), (0, 0), (0, 0)

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

f (x) = x^{3} - 5 x^{2} + 3 x + 12

y = x^{- 1} e^{x}

f (x, y) = 6 x^{2} - 9 x^{3} y^{3} + 3 y^{4}

f (x) = x e^{\frac{- x ^{2}}{8}}, - 1 \leq x \leq 4

What is the critical f(x,y)=x^4+y^4+8y^3+6x^2y^2 ?
The critical f(x,y)=x^4+y^4+8y^3+6x^2y^2 is (0,0),(0,-6),(0,0),(0,0)