Differentiate `logsqrt((x-1)/(x+1))` with respect to `x` :

Explanation

To differentiate the function \( y = \log \sqrt{\frac{x-1}{x+1}} \) with respect to \( x \), we can follow these steps:

### Step 1: Rewrite the function
We start by rewriting the logarithm of the square root:
\[ y = \log \left( \sqrt{\frac{x-1}{x+1}} \right) = \frac{1}{2} \log \left( \frac{x-1}{x+1} \right) \]

...