Determine $\frac{dy}{dx}$ for the following function: $y=lo{g}_3(x^{2}1)$

$\frac{(x^{2}1)}{2x}$

$\frac{(x^{2}1)ln3}{2x}$

$\frac{2x}{(x^{2}1)}$

$\frac{2x}{(x^{2}1)ln3}$