Media for I have 10/100/1000 Mbps ports one side and two switches connected to each port, one is 10Mbps and other one is 100Mbps does auto-negotians will automatic?.

I have 10/100/1000 Mbps ports one side and two switches connected to each port, one is 10Mbps and other one is 100Mbps does auto-negotians will automatic?.

I have one Router with each port 10/100/1000 Mbps, I need to connect two switches where one switch ports are at 100 Mbps only and where as second switch ports are at 10 Mbps only. When I plugin my two switches to Router ports, can be the ports auto-negotiated at their maximum speed?.