Source : Webster's Revised Unabridged Dictionary (1913)

Critically \Crit"ic*al*ly\, adv.
   1. In a critical manner; with nice discernment; accurately;
      exactly.

            Critically to discern good writers from bad.
                                                  --Dryden.

   2. At a crisis; at a critical time; in a situation, place, or
      condition of decisive consequence; as, a fortification
      critically situated.

            Coming critically the night before the session.
                                                  --Bp. Burnet.

Source : WordNet®

critically
     adv : in a critical manner; "this must be examined critically"
           [ant: {uncritically}]