My daughter has been coughing for 16 days, she has had a cold, but it stopped and now she is coughing up yellow mucus alot. does she have bronchitis?

16 day cough: It could have bronchitis, she could have pneumonia, she could have whooping cough. I don't know how old she is or what her immunization status is. What I do know is if the cold is gone and a productive cough persists or is getting worse, she needs to see the doctor and find out what is going on and get appropriate therapy for that cough.