Hello. I have a calculus problem that goes as follows:

Is it possible to find a function for which it is true that, for allx> 0 andy> 0,f> 0 and_{x }f< 0, and_{y }f (x,y) > 0? If so, give an example. If not, why not?

I'm not sure how to go about solving this. I can't think of an example to make it true, but I don't know how to prove it false. Can someone please help me?

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