What is the critical f(x)=3x^3-9xy+3y^3 ?

The critical f(x)=3x^3-9xy+3y^3 is (0,0),(1,1)

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critical f(x)=3x^3-9xy+3y^3

critical points

f (x) = 3 x^{3} - 9 x y + 3 y^{3}

(0, 0), (1, 1)

Solution steps

3 x^{3} - 9 x y + 3 y^{3}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (1, 1)

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

f (x) = 4 x^{3} - 33 x^{2} - 240 x + 9

f (x) = - 10 x^{2} + 8 x y + 32 x - 2 y^{2}

\frac{2}{x ^{2} + 4}

(x + 5)^{\frac{2}{3}}

What is the critical f(x)=3x^3-9xy+3y^3 ?
The critical f(x)=3x^3-9xy+3y^3 is (0,0),(1,1)