Find $\frac{dy}{dx}$ by implicit differentiation, given that $x^{2}y-3y^3=-9.$ Your answer could involve both $x$ and $y.$

Enclose numerators and denominators in parentheses. For example, $\frac{a-b}{1+n}.$

$a^b$

$\frac{a}{b}$

$\sqrt[\phantom{2}]{a}$

$|a|$

$$

$sin(a)$

$\frac{dy}{dx}=$