Does Pediatric Cerebral Palsy Belong to the Pediatric Neurology Field?

My baby, just four months old, still frequently clenches their hands into a fist, and their reactions are much slower than other children. A friend suggested taking them to the hospital for a check-up to see if they have cerebral palsy. I’m not sure which department to go to. Doctor, does pediatric cerebral palsy belong to the pediatric neurology field?
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