find dy/dx (3xy)^(1/2)=3x-2y

Can't seem to get the solution. May be making a mistake using the chain rule, but I my steps seem correct to me. Would it be easier to first square both sides to get rid of the fractional exponent, then differentiate implicitly? Any help would be appreciated.

Answer6xy-y(3xy)^(1/2))/x(3xy)^(1/2)+4xy