What is the cause of the rough idle in my BMW M5?

I've noticed that my BMW M5 has a rough idle when it's first started in the morning. I've tried using premium fuel and replacing the spark plugs, but the issue still persists. What could be causing this and how can I fix it?

It's possible that the issue could be due to a vacuum leak. Check all the hoses and connections for any cracks or leaks. If that doesn't solve the problem, it could be a faulty idle control valve. It's best to bring your car to a certified BMW mechanic for a proper diagnosis.

Have you also checked your air filter? A dirty or clogged air filter can cause rough idling in some cases. It's a simple fix that you can do yourself.