  We show that the representation type of the Jacobian algebra P(Q,S)
associated to a 2-acyclic quiver Q with non-degenerate potential S is invariant
under QP-mutations. We prove that, apart from very few exceptions, P(Q,S) is of
tame representation type if and only if Q is of finite mutation type. We also
show that most quivers Q of finite mutation type admit only one non-degenerate
potential up to weak right equivalence. In this case, the isomorphism class of
P(Q,S) depends only on Q and not on S.
