X2 Visa Renewal/Extension

I am currently in Beijing on an X2 for 31 days. 2 weeks after it expires I start a new course which is for 5 months. I will need to obtain a new X2 for my new course. Am I able to apply for the new one while in China? Or, could I send my passport home for a friend to apply for my new X2 and then send it back? I understand I would have to leave the country at some point to activate the new one. I just don't want to have to travel back to Australia to obtain.