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

The critical f(x,y)=xy+2x-ln(x^2y) is (1/2 ,2)

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

critical points

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

(\frac{1}{2}, 2)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{1}{2}, 2)

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

\frac{x ^{2} - 81}{x ^{2} - 7 x - 144}

f (x, y) = 2 x^{3} + y^{3} + 3 x^{2} - 3 y + 12 x - 4

f (x) = \frac{x ^{2} + 3 x - 40}{x + 1}

f (x) = (x + 8)^{\frac{2}{3}}

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