What is the critical f(x,y)=x^3-3xy^2+27y^2 ?

The critical f(x,y)=x^3-3xy^2+27y^2 is (0,0),(9,9),(9,-9)

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critical f(x,y)=x^3-3xy^2+27y^2

critical points

f (x, y) = x^{3} - 3 x y^{2} + 27 y^{2}

(0, 0), (9, 9), (9, - 9)

Solution steps

x^{3} - 3 x y^{2} + 27 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (9, 9), (9, - 9)

x e^{3 x}

f (x) = 4 x^{2} - y^{2} + x + y - 11

f (x) = \frac{x ^{2} - 4 x + 10}{( x - 2 ) ^{2}}

f (x) = \frac{3 x ^{2} - 12 x + 5}{x ^{2} + 4}

- 2 x^{3} - 7

What is the critical f(x,y)=x^3-3xy^2+27y^2 ?
The critical f(x,y)=x^3-3xy^2+27y^2 is (0,0),(9,9),(9,-9)