Jeep is rough. It jerk during driving. Black smoke is coming out the exhaust.

Hello, Black exhaust typically indicates that your vehicle is using excess fuel. The vehicle needs to have some testing in regarding engine performance. Testing must be performed to see what element of the following is of concern: 1) Fuel delivery 2) Ignition spark 3) Air coming into the intake -- either restricted or too much 4) Exhaust flow restricted Is there a check engine warning light illuminated? If so, testing can start there to find out what trouble codes might be present, aiding with clues as to where to start looking for your problem. If not, each system I listed must be tested to see if it is working properly. A well trained technician with a good diagnostic tool that has data monitoring capabilities and a shop manual to use for reference will be able to get to the bottom of your concern with little difficulty.