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

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

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critical f(x,y)=x^2+y^2+1/(x^2y^2)

critical points

f (x, y) = x^{2} + y^{2} + \frac{1}{x ^{2} y ^{2}}

(1, 1), (- 1, 1), (1, - 1), (- 1, - 1), (1, 1), (- 1, 1), (1, - 1), (- 1, - 1)

Solution steps

x^{2} + y^{2} + \frac{1}{x ^{2} y ^{2}}

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, 1), (- 1, 1), (1, - 1), (- 1, - 1), (1, 1), (- 1, 1), (1, - 1), (- 1, - 1)

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