Summary: Derivatives and trees
Michael Anshelevich
January 20, 2005
All know
(FG) = FG + FG (product rule)
(F G)
= F
(G)G
(chain rule)
(F-1) =
1
F(F-1)
(inverse function rule)
What about
(FG)
(F G)
(F-1)?
Use Taylor series (invented by Newton)
Once have the answer, can check it even if don't have
Taylor expansions.