docker-nginx-proxy | Example nginx dockerfile configuration | Continuous Deployment library

I want to make a simple configuration regarding nginx as reverse proxy with using Docker technology. I am considering using this solution: https://hub.docker.com/r/jwilder/nginx-proxy/.

I need to achieve the following behavior:

->when request comes to www.example.com, it will go to container A

->when request comes to www.example.com/part, it will go to container B (different container)

I am not so good at Nginx server configuration. I know, that I need to pass the VIRTUAL_HOST, VIRTUAL_PORT variables when running other containers I need to proxy, but I do not know what to adjust or perhaps pass in order force nginx server to switch traffic based on location. Is it a matter of Nginx server and its location directive or is it something other which needs to be adjusted?

Thanks in advance for your precious time and energy spent here.

So here is an update to this question - hopefully I will describe more precisely where my problem lies. Well, I've already spent a lot of time on this and the other thing is I am allowed to play with configuration only during the night when nobody is using the systems.

We have in our environment Docker daemon running on RHEL7 (Maipo 7.3). There we have couple of docker containers and one of them is the one based on image mkodockx/docker-nginx-proxy:stable. See please below the configuration file - the basic idea is to run every image with switch -e VIRTUAL_HOST=some_host.

I thought that I need to find a way to pass another environment variable to get correct location directive created; I was adjusting the nginx.tmpl within /app directory in image.

See please configuration file: