How has Shakespeare show Anthony’s reaction to Caesar’s murder?

Shakespeare is trying to show that Mark Anthony is annoyed about the death of Caesar and that he is trying to show the conspirisers that he is not bothered and that he wants to help them but deep down he wants to kill all of them because Caesar was like an older brother to them and Caesar was about to the ruler of Rome but they took that away from him. Furthermore Caesar could have given the throne to Antony after he had passed away or maybe when he gets to old.