What is the critical f(xy)=y^3+x^2-6xy+3x+6y-7 ?

The critical f(xy)=y^3+x^2-6xy+3x+6y-7 is (27/2 ,5),(3/2 ,1)

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critical f(xy)=y^3+x^2-6xy+3x+6y-7

critical points

f (x y) = y^{3} + x^{2} - 6 x y + 3 x + 6 y - 7

(\frac{27}{2}, 5), (\frac{3}{2}, 1)

Solution steps

y^{3} + x^{2} - 6 x y + 3 x + 6 y - 7

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{27}{2}, 5), (\frac{3}{2}, 1)

f (x) = x^{\frac{1}{3}} + 2

f (x, y) = 2 x^{3} - 15 x^{2} + y^{3} + 6 y^{2}

f (x, y) = - 150 x + 2 x^{3} + 6 x y^{2} - 3 y^{3}

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

f (x) = x^{2} - 8 x + 6 ln (x)

What is the critical f(xy)=y^3+x^2-6xy+3x+6y-7 ?
The critical f(xy)=y^3+x^2-6xy+3x+6y-7 is (27/2 ,5),(3/2 ,1)