What is the local maximum and minimum values and saddle point(s) of the function?

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

Maximum

f(,) =(smallerxvalue)

f(,) =(largerxvalue)

minimum

f(,) =(smallerxvalue)

f(,) =(largerxvalue)

saddle points

(,) (smallestxvalue)

(,) (largestxvalue)