Differentiate the following with respect to x
`x^(2) -1//x^(2)+1`

Explanation

To differentiate the function \( \frac{x^2 - 1}{x^2 + 1} \) with respect to \( x \), we will use the quotient rule. The quotient rule states that if you have a function in the form \( \frac{u}{v} \), then its derivative is given by:

\[ \frac{d}{dx}\left(\frac{u}{v}\right) = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2} \]

### Step-by-step Solution:

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