I'm having trouble figuring out the derivative to this function:

f(t)=e^(2ln(t^3))

What I did:

f'(t)=e^(2ln(t^3)) x d/dt(2ln(t^3))

=e^(2ln(t^3)) x 6/t

Did I do this right? If I did is there any way I can simplify it more because it's not matching up to any of the answer choices I was given.