No year-engine info.
If under the radiator you may have a cracked radiator, if it's under the motor it could be a heater hose O ring ect.
The only way to find a leak is to have the cooling system pressure tested, it could be a simple as a hose clamp.
You should totally keep driving it when the coolant light comes on.. It's a great way to crack a head, but don't worry, that's only an expensive fix....
Seriously, those lights and stuff are on a car for a reason!
Keep the radiator filled to the top when the engine is stone cold. The plastic coolant recovery reservoir should be filled 3/4 fill at the same time. If you are unable to find the leak and make repairs, a trusted private mechanic or dealer of the car will do a *cooling system pressure test which will find any external or internal leaks.
Ok I recently was gifted this car from my dad and it has some problems that we're trying to fix. On my way to school no coolant light came on but after I parked my car at school and got out I saw a puddle of coolant under the drivers side( nowhere by the coolant reservoir) as of now I'm just trying to see what could cause this until I get out of school. Last week the coolant light came on because it was low so I put distilled water in it and I never saw a leak or the light come on again.