Third cranial arch give rise to glossopharyngeal nerve. First branchial arch give rise to mandibular division of trigeminal nerve, second arch give rise to facial nerve, 4th and 6th arch give rise to vagus nerve. Other derivatives of 3rd branchial arch are:Skeletal elements: greater cornua and lower pa of the body of hyoid.Muscular element: stylopharyngeusNeural element: glossopharyngeal nerveVascular element: common carotid and internal carotid aeryDerivatives of first branchial arch:Skeletal elements: stapes, stylohyoid process, stylohyoid ligament, lesser cornua of the hyoid and the upper pa of the body of hyoid. Muscular element: masseter, temporalis, medial and lateral pterygoid, tensor palati, tensor tympani, mylohyoid and anterior belly of digastric. Neural element: Facial nerveVascular element: Stapedial aeryRef: Head and Neck Anatomy for Dental Medicine By Eric Baker,page 61