Rough idle engine light on drivetrain malfunction

What is your question?

This has occurred when I first got the car a year ago. On first start up the car runs rough doesn't want to go. Once it's warmed up after about 10 Min's the car runs great. Husband drives car doesn't let it warm up and keeps driving engine light comes on and gives drivetrain malfunction.

What makes this problem better or worse?

Driving while cold

How long has your 2010 BMW 750Li had this problem?

1 year ago it happens and now