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

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

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

critical points

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

(0, 2), (1, 3)

Solution steps

x^{3} - 3 x (y - 2) + (y - 2)^{3}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 2), (1, 3)

f (x) = x^{3} - 9 x^{2} + 24 x - 10

f (x, y) = x y + 5 x - 5

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

f (x) = \frac{1}{4} x^{4} - 2 x^{2}

e^{2 x} + e^{- x}

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