What is the critical f(x,y)=x^3-12xy+8y^3 ?

The critical f(x,y)=x^3-12xy+8y^3 is (0,0),(2,1)

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critical f(x,y)=x^3-12xy+8y^3

critical points

f (x, y) = x^{3} - 12 x y + 8 y^{3}

(0, 0), (2, 1)

Solution steps

x^{3} - 12 x y + 8 y^{3}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (2, 1)

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

f (x, y) = x^{3} - 12 x y^{2} + 24 y^{2}

\frac{- 2 x ^{2} + 5 x - 1}{2 x - 1}

f (x, y) = 2 x^{3} + x y^{2} + 5 x^{2} y + 2 y^{2}

y = I n (2 x)

What is the critical f(x,y)=x^3-12xy+8y^3 ?
The critical f(x,y)=x^3-12xy+8y^3 is (0,0),(2,1)