Tracking, Computerised Mounts and Auto-Guiding are different capabilities.
Most tracking mounts use gears (usually worm gears) to track celestial objects at a rate called the Sidereal Rate which is a tad under one revolution in 24 hours. This is simple tracking with no feed back to the mount.
A simple motorised telescope mount will generally track at the Sidereal Rate, and just chug along all by itself. Depending on the quality of the mount and the accuracy of your set up, there will be tracking errors due to machining tolerances in the gear train, atmospheric refraction, set up errors, etc. These errors will produce elongated stars at longer focal lengths and/or longer exposure times.
A computerised mount usually allows some alignment and positioning communication between the tracking mount and a computer so that once the mount is aligned to a known position in the skies, a computer “knows where it is pointing to” and can command the mount to slew to an object that you can chose on the computer screen for example. However, the mount is still only tracking at the Sidereal Rate so once again depending on the quality of the mount, the object will eventually drift within the field of view.
To reduce the unwanted drifting of stars to a level where you can record pin point stars at longer focal lengths for minutes at a time, you need to add “Auto Guiding” to the simple tracking process. This adds a feed-back process to the mount to correct for any star drifting.
If we attach a smaller telescope to the mount with a camera in place of the eyepiece, that telescope/camera combination becomes an auto-guider (usually requires a computer) which you then calibrate by selecting a bright star (guide star) then commanding the auto-guider to move the mount for say, 5 to 15 secs Up-Down then Left-Right so the guide star moves to a different pixel location. Once the calibration routine has been completed successfully, the auto-guider “watches” the chosen guide star and keeps it centred on a fixed pixel location of the guide camera.