Differentiate each function by applying the basic rules of differentiation
`((u)/(u-1)-(u)/(u+1))`

Explanation

To differentiate the function \( y = \frac{u}{u-1} - \frac{u}{u+1} \), we will follow these steps:

### Step 1: Combine the fractions
First, we need to combine the two fractions into a single fraction. The common denominator for the two fractions is \((u-1)(u+1)\).

\[ y = \frac{u(u+1) - u(u-1)}{(u-1)(u+1)} \]
...