(05/04/2009, 04:23 AM)Tetratophile Wrote:(05/03/2009, 07:05 AM)bo198214 Wrote: Its regular if the iterates are differentiable (or at leas asymptotically differentiable) at the fixed point. This implies that .

do you mean that the derivative of the function iterated times at the fixed point is the derivative at the fixed point to the power (multiplied t times)?

exactly. You see that is satisfied for natural numbered iterations:

.