Consider a parametric curve $x=f(t)$ and $y=g(t)$ that are infinitely differentiable

such that $d\frac{x}{d}t0.$ Which $of$ the following $is$ the correct formula for $d^4\frac{y}{d}{x}^4?$

$A.(\frac{dy}{dx}{)}^4$

$B.\frac{d{y}^{\text{'}\text{'}\text{'}}}{dt}\frac{?}{?}\frac{dx}{dt}$ where $y^{\text{'}\text{'}\text{'}}=\frac{d^{3}y}{d{x}^3}$

$C.\frac{d^{4}y}{d{t}^4}\frac{?}{?}\frac{d^{4}x}{d{t}^4}$

$D.(\frac{dy}{dt}\frac{?}{?}\frac{dx}{dt}{)}^4$