Help! 2 month Dry sk

Rosemary

My 2 month old daughter has been having extreme dry skin around her neck, upper chest and back. She also have cradle cap that has been getting better with coconut oil. Any advise on how to help with dry skin. I have tried coconut and aquaphor, it will get better but she start to what I think is sweat and it will dry up again. Even though I am keeping her moisturizer.