Tesla Inc (NASDAQ: TSLA) CEO Elon Musk said that the automaker is rolling out the beta version of its full self-driving software, starting Tuesday night.What Happened: Musk tweeted that the rollout of the software will be "extremely slow [and] cautious, as it should." The autopilot beta release would be "limited to a small number of people who are expert [and] careful drivers," Musk said, earlier in the month. The billionaire entrepreneur had said on Twitter in August that the improvement in the FSD feature will be a "quantum leap," and promised the beta launch would happen in six to 10 weeks."I drive the bleeding edge alpha build in my car personally. Almost at zero interventions between home [and] work," Musk said.Why It Matters: The software's final version should be ready for public release by December, as revealed by Musk in September.At the company's battery day event in September, the release of a rewritten version of FSD was promised and the beta version's release meets the one-month timeline promised at the event.In April, Tesla vehicles gained the capability of recognizing traffic lights and stop signs.Price Action: Tesla shares closed nearly 2% lower at $421.94 and gained 0.63% in the after-hours session.See more from Benzinga * Options Trades For This Crazy Market: Get Benzinga Options to Follow High-Conviction Trade Ideas * GM Unveils 'Supertruck' EV Hummer, With 350-Mile Range For 2,595 * GM Expected To Announce Expanded Electric Vehicle Production(C) 2020 Benzinga.com. Benzinga does not provide investment advice. All rights reserved.