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

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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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