The drive shaft refers to the shaft connecting the transmission output shaft to the differential pinion shaft. It transmits power from the transmission to the differential. It is found primarily on rear-drive vehicles. There is usually a universal joint on either end. It is also called "propeller shaft."
The axle which is driven by the engine through the drive train, is used to hold, align, and drive rear wheels and support weight of vehicle on rear wheel drive cars, or half shafts on front wheel drive cars that provide torque force to front wheels. Also called the "driven axle".