You have to enable Type Name Handling and pass that to the (de)serializer as a settings parameter.
Base object1 = new Base() { Name = "Object1" };
Derived object2 = new Derived() { Something = "Some other thing" };
List<Base> inheritanceList = new List<Base>() { object1, object2 };
JsonSerializerSettings settings = new JsonSerializerSettings { TypeNameHandling = TypeNameHandling.All };
string Serialized = JsonConvert.SerializeObject(inheritanceList, settings);
List<Base> deserializedList = JsonConvert.DeserializeObject<List<Base>>(Serialized, settings);
This will result in correct deserialization of derived classes. A drawback to it is that it will name all the objects you are using, as such it will name the list you are putting the objects in.