Hi,

I do not really understand your question and I do not know what application you are talking about. If you define

F[x, y] := Exp[2 - x]/y^2

these lines generate the derivatives that your are looking for:

D[F[x, y], #] & /@ {x, y}

and

D[F[x, y], #[[1]], #[[2]]] & /@ Tuples[{x, y}, 2]

There are probably easier ways. If you want to set all of them equal as you appear to suggest in your post you can use:

Equal @@ Union[D[F[x, y], #] & /@ {x, y}, D[F[x, y], #[[1]], #[[2]]] & /@ Tuples[{x, y}, 2]]

Cheers,

Marco

PS: You might also want to use the proper formatting when you post. If you put the formulas in the appropriate code boxes it is easier to reply. Also I am not sure whether the use of capital Y and small y is intentional or just a typo.

PPS: I also might be answering something completely wrong, because I do not know what App from the AppStore you are talking about. Is is the Wolfram alpha app?