I'm having a little trouble differentiating these two functions, if anyone could help I would greatlyyy appreciate it.

g(x) = ln (x * sqrt(x^(2)-1))

and

f(u) = ln u / (1+ln(2u))

Whatever I do that makes sense to me, I end up with (1/x) + ((x) / (x^(2) - 1)) for g(x) and for the second, I used the quotient rule and can't end up with anything similar to the answers for either. Thank you very much in advance!