ABSTRACT
Faa´ di Bruno’s Formula If f (t) and g(t) are functions for which all necessary derivatives are defined, then
Dnf (g(t))
X n! k1! kn!
Dkf
(g(t)) Dg(t)
!k1 . . .
Dng(t)
n!
!kn ;
where kk1. . .kn and the sum of over all k1; ..., kn for which
k12k2. . .nknn
(Roman 1980).
