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Error propagation for several variables?

I was asked this on exam today: f(1,2)=8, f(1.01,2)=8.4, f(1,2.01)=7.8, f(1.01,2.01)=8.3 x=1±0.02, y=2±0.03 What is the limit of error in f? I believe it should be the error propagation ...