The $G$-sequence of a map $f: X \rightarrow Y$ is a boundary sequence relating the Gottlieb

group $G_*(X)$ of the space $X$ to the evaluation subgroup $G_{*}(Y, X; f)$

of $\pi_{*}(Y)$ corresponding to $f$. When $X$ and $Y$ are

simply connected CW complexes with $X$ finite, we identify the rationalization of

the $G$-sequence in higher degrees as a sequence of

derivation spaces of differential graded rational algebras. Using

this result, we give new examples of

nonexact $G$-sequences, uncover a relationship between the

homology of the rational $G$-sequence and negative derivations of rational

cohomology and analyze the splitting of the rational

$G$-sequence of a fibre inclusion $j : X \rightarrow E$

as a measure of the triviality of a fibration

$X \stackrel{j}{\rightarrow} E \stackrel{p}{\rightarrow} B$.