Question

Find the local maximum and minimum values and saddle points of the function f(x,y)=x^2+y^2+1/(x^2y^2)

Answer 1

\[f(x,y)=x^2+y^2+1/(x^2y^2)\]

Answer 2

Find \(f_x\) and \(f_y\).

set equal to zero and solve. Then apply the second derivative test.