Find the derivative of `y=(t^2-1)/(t^2+1)`.

Explanation

To find the derivative of \( y = \frac{t^2 - 1}{t^2 + 1} \), we can use the quotient rule. The quotient rule states that if you have a function in the form \( y = \frac{u}{v} \), then the derivative \( \frac{dy}{dt} \) is given by:

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

where \( u = t^2 - 1 \) and \( v = t^2 + 1 \).

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