1. The problem is to find the derivative of $y$ with respect to the independent variable $t$. 2. To proceed, we need the explicit function $y(t)$ or the relationship between $y$ and $t$. 3. Since the function $y(t)$ is not provided, we cannot compute the derivative $\frac{dy}{dt}$. 4. Please provide the function $y(t)$ or more information to find the derivative.