Let R be a 2-torsion free ring, d a derivation of R, and U a Lie ideal of R. The authors obtain extensions to Lie ideals of some results in the literature for ideals. Specifically, by assuming that \(d(x)^{n(x)}=0\) for each \(x\in U\), they prove that \(d(U)=0\) when either: R is a semi- simple ring; R is a prime ring containing no nonzero nil right ideal; or R is a semi-prime ring and \(n(x)=n\) is fixed.