The Collaborative International Dictionary of English v.0.48:

Determinedly \De*ter"min*ed*ly\, adv.
   In a determined manner; with determination.
   [1913 Webster]

WordNet (r) 3.0 (2006):

determinedly
    adv 1: with determination; in a determined manner; "he clung to
           the past determinedly" [syn: determinedly,
           unfalteringly, unshakably]
    2: with ambition; in an ambitious and energetic manner; "she
       pursued her goals ambitiously" [syn: ambitiously,
       determinedly] [ant: unambitiously]