  We continue the study of finite field dependent BRST (FFBRST) symmetry in the
quantum theory of gauge fields. An expression for the Jacobian of path integral
measure is presented, depending on a finite field-dependent parameter, and the
FFBRST symmetry is then applied to a number of well-established quantum gauge
theories in a form which includes higher-derivative terms. Specifically, we
examine the corresponding versions of the Maxwell theory, non-Abelian vector
field theory, and gravitation theory. We present a systematic mapping between
different forms of gauge-fixing, including those with higher-derivative terms,
for which these theories have better renormalization properties. In doing so,
we also provide the independence of the S-matrix from a particular gauge-fixing
with higher derivatives. Following this method, a higher-derivative quantum
action can be constructed for any gauge theory in the FFBRST framework.
