What is the critical f(x,y)=x^3+3xy^2-3y^2-3x^2+11 ?

The critical f(x,y)=x^3+3xy^2-3y^2-3x^2+11 is (2,0),(0,0),(1,1),(1,-1)

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critical f(x,y)=x^3+3xy^2-3y^2-3x^2+11

critical points

f (x, y) = x^{3} + 3 x y^{2} - 3 y^{2} - 3 x^{2} + 11

(2, 0), (0, 0), (1, 1), (1, - 1)

Solution steps

x^{3} + 3 x y^{2} - 3 y^{2} - 3 x^{2} + 11

Find where

\nabla f (x, y)

is equal to zero or undefined

(2, 0), (0, 0), (1, 1), (1, - 1)

x^{2} - 32 x

f (x) = (x + 5) e^{- x}

f (x) = \frac{x}{2 - x}

f (x) = 4 x^{3} - 48 x^{2} + 144 x

f (x, y) = x^{2} - y^{2} \cdot 1 - x^{2} - y^{2}

What is the critical f(x,y)=x^3+3xy^2-3y^2-3x^2+11 ?
The critical f(x,y)=x^3+3xy^2-3y^2-3x^2+11 is (2,0),(0,0),(1,1),(1,-1)