An excellent day trip from Derry is to visit Donegal. You'll need a car or hire a tour with the companies that offer day trips such as Executive Coach Travel Hire. Pay a visit to the museums that will give you an insight into centuries of Irish history. Doagh Visitor Centre at Inishowen houses a series of exhibitions about the Irish struggle against hunger as they were pushed out of their territory. 

Another area worth exploring is the Inishowen Peninsula. It is the most northernly part of Ireland and is known for its stunning scenery and outdoor sporting facilities. One can play golf at one of the five golf courses, check out fishing in lake, river, or sea waters, or simply enjoy a cliff walk.

Also check out Giant's Causeway. Here you'll find beautiful coastal scenery filled with majestic cliffs and sheltered bays. Take in the breathtaking landscape and rock formations as you walk among the basalt columns formed 60 million years ago.