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

The critical f(x,y)=6xy-x^2y-xy^2 is (0,6),(2,2)

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

critical points

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

(0, 6), (2, 2)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 6), (2, 2)

f (x) = x^{3} + 3 x^{2} - 9 x + y^{3} - 12 y

6 x^{2} + 6 x - 12

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

(x + 1) e^{- x}

f (x) = x^{\frac{1}{3}} (x - 8)

What is the critical f(x,y)=6xy-x^2y-xy^2 ?
The critical f(x,y)=6xy-x^2y-xy^2 is (0,6),(2,2)