Non Custodial parent, never married, livng apart, What can I claim for my child with the Ex already claims

These responses for confusing.  I have my child for visitation alot, food, clothing shelter, transportation, day care.

Are you saying I cannot get any credits for any of these things, because I am the non-custodial parent?  We have no agreement.  My Ex already claimed my child as her dependent.  What can I do?