We're designed specifically for dynamic apps. In fact, we tell people to use traditional CDNs for static files. You can think of us as a combo load balancer and edge.
This means we do things like handle unlimited ssl certs (for apps that support custom hostnames), do load balancing on app instance, including geo load balancing, and even run code at the edge.
My favorite thing we do is app friendly caching. We're "aware" of app users and can handle caching logic well beyond the http cache control and vary headers.