Yes, it is completely normal for a 6-month-old baby to sweat while exercising or being active. Sweating is the body's natural way of regulating temperature, and babies, like adults, need to do this to avoid overheating.
As a baby becomes more active, such as rolling over, sitting up, crawling, and grabbing objects, they will naturally begin to sweat more. As they become more mobile, their body temperature rises, and sweating helps them cool down.
It is essential to dress your baby appropriately during exercise and physical activity. Dress them in comfortable, breathable clothing that allows for heat to escape and helps to wick away sweat. Overdressing your baby can cause them to sweat excessively, leading to dehydration and discomfort.
Also, make sure to keep your baby hydrated during and after physical activity. You can offer them water or breastmilk/formula to ensure they are getting enough fluids to replenish what they lose through sweat.
If you notice excessive sweating or your baby seems uncomfortable or unwell, consult a pediatrician. However, in general, sweating during physical activity is healthy and normal for babies as long as they are dressed appropriately, kept hydrated, and show no signs of discomfort or illness.