[Edited, see below for updated answer.]
You say she lives with your husband, but does she live with you? Are you separated from your husband or at least living apart? Also, we need to know your daughters age, and whether she is attending school full-time. And, will you file a joint tax return with your husband?
The general rule is that if your child is under age 24 while being a full-time student, you can claim her as a dependent if she lives in your home more than half the year, and does not provide more than half her own support. When a child is away at college, they are usually considered to still live at home, on the presumption that their parents’ home is still their permanent home, and college is a temporary absence. (This may not be true in all cases, such as where the child has definitively moved out and established a new separate residence.)
In this case, your child appears to live with your husband, but not with you? That would mean that, presuming she meets the age and full-time school test, your husband can claim her as a dependent. You could not, unless you file a joint tax return with your husband.
There is a series of special rules for claiming dependents when the parents are divorced or legally separated, and have a custody agreement, that can allow the parent where the child does not live to claim the child if the parent where the child does live signs a release form. However, these special rules only operate until the child turns 18 (or is of legal emancipation age in your state, if that age is not 18). Once the child is legally emancipated, the special rules do not apply, and you have to follow the normal rules about residency and support. The dependent claim can’t be transferred with a signed release form, even if both parents agree to do so.
