(e^3x)^2 = ? Watch
It is with respect to the denominator using the Quotient Rule.
multiplying 2 things two a power - add the indices
(e^3x)(e^3x) = e^(3x+3x)=e^6x
and if its the derivative u want seeing as u mention the quotient rule - then what u have to do is expand the square to get e^6x and then use the chain rule
therefore dy/dx = 6e^6x