http://www.ign.com/articles/2013/08/07/xbox-ones-dvr-feature-requires-xbox-live-gold-membership

An Xbox Live Gold subscription  is required to use Xbox One's DVR game-capture and video sharing functionality. Gold members will also have access to Skype and Smart Match multiplayer matchmaking, of course, as online play requires a Gold subscription.

Xbox Live Gold's one-year membership costs $60 in North America, and Xbox 360 users' existing Gold accounts will unlock access to Skype, DVR, Smart Match, and more when Xbox One releases this November.