Find the derivative of $y = x^{\ln(x)}\sec(x)^{3x}$ What is the derivative of 
  $$y = x^{\ln(x)}\sec(x)^{3x}$$
I tried to find the derivative of this function but somewhere along the way I seem to have gotten lost. I started off with using the product rule and then the chain rule about 4 times and things are getting messier. Now I just don't know what to do. I would show my work here but that would be roughly 2 whole pages of calculations...

Try logarithmic differentiation, or somehow make use the fact that $a=e^{\ln a}$ for $a>0$. (you have to decide what $a$ should be).
