Since the given function is a quotient, we use the quotient rule:
d
dx
ln(3x+2)
3x+2
=
[3/(3x+2)](3x+2)
ln(3x+2) (3)
(3x+2)
2
=
3
3ln(3x+2)
(3x+2)
2
=
3(1
ln(3x+2))
(3x+2)
2