Let u x y v xy and f be a function of x and y Find Partia

Let u = x + y. v = xy and f be a function of x and y. Find Partial differential f/Partial differential x and Partial differential f/Partial differential y in terms of Partial differential f/Partial differential u and Partial differential f/Partial differential v. Show that Partial differential^2 f/Partial differential x Partial differential y = Partial differential^2 f/Partial differential u^2 + u Partial differential^2 f/Partial differential u Partial differential v + v Partial differential^2 f/Partial differential v^2 + Partial differential f/Partial differential v.

Solution

There is no f in the system here which one is f either u=xy or u=x+y.., please give the details..,