Question

differentiate y/(1+(xy)^2) in term of x

Answer 1

this is partial differentiation, so you just hold y as a constant and only worry about x. you need to use chain rule on x

Answer 2

holding y constant and diff w.r.t x you get
\[\frac{-2xy^3}{((xy)^2+1)^2}\]

Answer 3

what if i differentiate it with respect to y ? D:

Answer 4

I think you would be getting,