Differentiate `(2x+5)/(x^(2)-1)` with respect to 'x'.

Explanation

To differentiate the function \( y = \frac{2x + 5}{x^2 - 1} \) with respect to \( x \), we will use the quotient rule of differentiation. The quotient rule states that if you have a function in the form \( \frac{u}{v} \), where \( u \) and \( v \) are both functions of \( x \), then the derivative is given by:

\[ \frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2} \]

### Step-by-Step Solution:

...