What is the critical f(x)=x^3+y^3-6xy ?

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

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critical f(x)=x^3+y^3-6xy

critical points

f (x) = x^{3} + y^{3} - 6 x y

(0, 0), (2, 2)

Solution steps

x^{3} + y^{3} - 6 x y

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (2, 2)

f (x) = x^{3} - 6 x^{2} + 10

y = 2 x^{2} + 4 x + 2

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

y = \frac{x}{x ^{2} + 1}

f (x) = \frac{x ^{5}}{1 + x ^{6}}

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