  We study the homotopy derivations of the framed little discs operads, which
correspond to the homotopy derivations of the BV2n operads. By extending a
result by Willwacher about the homotopy derivations of the en operads we show
that the homotopy derivations of the BV2n operads may be described through the
cohomology of a suitable graph complex. We will present an explicit
quasi-isomorphic map.
