Car shutters in reverse, stopping

Hello,
After letting this problem go for a while I feel like its time to get some work done to the old E34.
I seem to be having some annoying shuttering problems going on right now. The most basic one, which I feel like I should know the answer to is the car shutters when you come to a stop. Not every time, mostly when you are coming to a little more abrupt stop. Is this likely a brake problem, or a rotor problem? The other thing that has me a little more worried is the car shutters and shakes a little when in reverse, like its not idling well, Could this be a transmission problem or driveline? Its going up in the air today but I wanted some opinions on what to look for before I got to into it.

Change transmission fluid first. You may be low on fluid.

goooooooooooooooooooooooooooooooooood

This problem started the day i took the long,long drive and I moved way down south and maybe again
just coincident, but it seemed to not be such and issue on days when it was not super hot.
A friend suggested a tranny cooler might be the answer since mine doesnt have one.(does that really fit as a possiblitity as something to also look into being a culprit?)

Quote:

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Originally Posted by Noel1

A friend suggested a tranny cooler might be the answer since mine doesnt have one.(does that really fit as a possiblitity as something to also look into being a culprit?)

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If its an auto, it should have one.

in case of a problem always tell us which built year and month, manual or automatic transmission.
Here you can find the details with your VIN

BMW VIN Decoder - By Mitsuhiko Kanekatsu

Quote:

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Originally Posted by whiskychaser

If its an auto, it should have one.

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But it is likely to be inside the radiator.

In most cases, tranny coolers in the radiator are prefferable as they reduce wear on the trans (it warms up quicker) and they work very well to cool the tranny once hot so long as the cooling system is working properly.

Remember, if BMW built it the way it is, it'll be appropriate. Unlikely people remove a tranny cooler.

Check for vacuum leaks and change all fluids for the correct type, and check cooling system is working properly.