A Joint density example II

If \(X\) and \(Y\) have joint density function

\[f(x,y)=\frac{1}{x^2y^2} \quad; \quad x \geq 1, y\geq 1\]

1.  Compute the joint density fiction of  \(U=XY\), \(V=X/Y\).
2. What are the marginal densities of \(U\) and \(V\) ?

[Ross p295, # 54]