The last two authors ([16]) gave solutions for the problem whether a higher derivative of the Conway, Alexander and Jones polynomial at a point is a Vassiliev invariant or not, by using Birman and Lin's result ([2]). For the Q-polynomial it is known that the n-th derivative

(a) of the Q-polynomial

of a knot K at a is not a Vassiliev invariant if

, -2 ([16], [39]), A sequence

of knots is called a twist sequence if they differ in a local part of two strands in which

is obtained from

by adding a full twist for each i. The local transform of two parallel strands with parallel orientation to the k-half twist of the two strands is called the

. In this paper we show that, for any positive integer n,

is not a Vassiliev invariant and

is not a Vassiliev invariant of degree < 2n, by using R. Trapp's result ([41]) on twist sequences of knots, Also by using higher derivatives

of the Q-polynomial, we give some criterions to detect whether a knot K can be transformed to a knot K' by finitely many

, and if so, we give some results on the number of

necessary in the transformation.