Chapter 3.3, Problem 32E

In Exercise 31 – 36, suppose that $x$ and $y$ are both differentiable functions of $t$ and are related by the given equation. Use implicit differentiation with respect to $t$ to determine $\frac{dy}{dt}$ in terms of $x$, $y$, $\frac{dx}{dt}$.

$y^4-x^2=1$