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

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

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critical f(x,y)=xy+1/x+1/y

critical points

f (x, y) = x y + \frac{1}{x} + \frac{1}{y}

(1, 1)

Solution steps

x y + \frac{1}{x} + \frac{1}{y}

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, 1)

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

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

y^{'} (x) + x (y) y

f (x) = x^{2} + y^{2}

f (x) = \frac{1}{3} x^{3} + \frac{1}{2} x^{2} - 6 x + 8

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