What is the critical f(x,y)= 1/x-(64)/y+xy ?

The critical f(x,y)= 1/x-(64)/y+xy is (-1/4 ,16)

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critical f(x,y)= 1/x-(64)/y+xy

critical points

f (x, y) = \frac{1}{x} - \frac{64}{y} + x y

(- \frac{1}{4}, 16)

Solution steps

\frac{1}{x} - \frac{64}{y} + x y

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{1}{4}, 16)

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

x^{\frac{2}{3}} (x^{2} + x - \frac{3}{2})

f (x, y) = x^{3} + y^{2} - 3 x^{2} + 10 y + 6

f (x) = 6 + 81 x - 3 x^{3}

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

What is the critical f(x,y)= 1/x-(64)/y+xy ?
The critical f(x,y)= 1/x-(64)/y+xy is (-1/4 ,16)