Find dydx$,$ where y is defined as a function of x implicitly by the equation below$\mathrm{.}3$x$3$y$3=1$

Select the correct answer below:

dydx$=3$x$3$y$3$

dydx$=3$x$2$y$2$

dydx$=3$x$2$y$2$

dydx$=3$x$3$y$3$

dydx$=$x$23$y$2$

dydx$=$x$23$y$2$