  In this paper we extend the notion of the Kobayashi-Royden pseudonorm for
almost complex manifolds. Its basic properties known from the complex analysis
are preserved in the nonintegrable case as well. The main theorem on
coincidence of the pseudodistance induced by this pseudonorm with the Kobayashi
pseudodistance for the almost complex manifold is equivalent to the possibility
of deforming slightly a pseudoholomorphic disk in an almost complex manifold.
We also describe the result in terms of h-principle and consider a geometric
application for moduli spaces of pseudoholomorphic curves.
