The given equation is:

$y = \frac{x}{(x-1)^2}$

Would you like me to perform a specific operation on this function, such as differentiation, integration, or analyzing critical points? Please specify.

Here are some possible related tasks:

1. Find the derivative of $y$ with respect to $x$.
2. Find the integral of $y$ with respect to $x$.
3. Identify any critical points (where the derivative is zero).
4. Analyze the asymptotic behavior of the function.
5. Solve for $x$ when $y = 0$.

Tip: The function has a vertical asymptote at $x = 1$ due to the denominator $(x-1)^2$.