Wondering what your 2-month-old baby should be doing? Learn about key developmental milestones at 2 months old: social smiles, early cooing, visual tracking, improved head control during tummy time, and more. Save this guide to track your baby’s growth and development! 2 month baby milestones, what should baby do at 2 months, baby development month by month, 2-month-old baby skills, newborn development, early baby milestones, baby growth chart.