  We discuss the contribution of ADHM multi-instantons to the higher-derivative
terms in the gradient expansion along the Coulomb branch of N=2 and N=4
supersymmetric SU(2) gauge theories. In particular, using simple scaling
arguments, we confirm the Dine-Seiberg nonperturbative nonrenormalization
theorems for the 4-derivative/8-fermion term in the two finite theories (N=4,
and N=2 with N_F=4).
