(a) In performing professional services for a patient, a physician’s, surgeon’s, or dentist’s duty to the patient shall be to exercise such reasonable care, diligence, and skill as physicians, surgeons, and dentists in the same general neighborhood, and in the same general line of practice, ordinarily have and exercise in a like case. In the case of a hospital rendering services to a patient, the hospital must use that degree of care, skill, and diligence used by hospitals generally in the community.
(b) Neither a physician, a surgeon, a dentist nor a hospital shall be considered an insurer of the successful issue of treatment or service.