If $x^{\frac{3}{4}}+y^{\frac{3}{4}}=\pi$, then the value of $\frac{d y}{d x}$ is:

$\sqrt[3]{x y}$ $\sqrt[3]{\frac{x}{y}}$ $\sqrt[4]{\frac{x}{y}}$ $\sqrt[-4]{\frac{y}{x}}$

$\sqrt[-4]{\frac{y}{x}}$

The correct answer is Option (4) → $\sqrt[-4]{\frac{y}{x}}$