na hi dehabhritaa shakyam tyaktum karmaanyasheshataha |
yastu karmaphalatyaagee sa tyaageetyabhidheeyate || 11 ||

For, it is not possible for an embodied person to completely give up actions. That is why one who has given up the reward of action is called a tyaagee.
na : not
hi : for
dehabhritaa : embodied person
shakyam : possible
tyaktum : give up
karmaani : actions
asheshataha : completely
yaha : who
tu : that is why
karmaphalatyaagee : given up reward of action
saha : he
tyaagee : tyaagee
iti : in this manner
abhidheeyate : is called
This chapter began with Arjuna asking the question : what is the difference between a sanyaasi and a tyaagi. Shri Krishna used this question as an opportunity to recap the topic of karma yoga. After pointing out some popular notions on the topic, he then asserted that karma yoga refers to performance of duties while giving up attachment to their reward. This is the saattvic type of renunciation or tyaaga. He also explained the raajasic and the taamasic types of tyaaga.
Now, Shri Krishna adds another bit of context to the topic of karma yoga. He asserts that one who has a strong sense of identification to his body cannot completely give up action. He uses the term deha-bhrit, which is similar to the term dehi from the second chapter. As long as we identify with a sports team, for instance, we will be happy or say whenever they win or lose. As long as we think we are Mr. or Ms. so-and-so who has a job and a family and a house and so on, we have a strong sense of identification with our body. We cannot fully give up actions since the body has to act in order to live in this world.
With this additional context, we can now understand the definition of tyaagi. The ordinary meaning of this word refers to one who has renounced, who has given up all actions. Shri Krishna redefines it to mean someone who has given up all attachment to the reward of action, not given up action itself. If we are true karma yogis, we are tyaagis per this definition. We still need to deal with the issue of our strong identification to the body. This topic is taken up next.