What is the critical f(x,y)=x+4y+2/(xy) ?

The critical f(x,y)=x+4y+2/(xy) is (2, 1/2)

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critical f(x,y)=x+4y+2/(xy)

critical points

f (x, y) = x + 4 y + \frac{2}{x y}

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

Solution steps

x + 4 y + \frac{2}{x y}

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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

x^{3} - 3 x^{2} + 1

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

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

ln (1 + x^{2})

What is the critical f(x,y)=x+4y+2/(xy) ?
The critical f(x,y)=x+4y+2/(xy) is (2, 1/2)