White 1 kills the top left corner group. This move is worth 11 points miai counting, not as large as White would like.
Black 2 starts the attack at the bottom white group, cutting it from the main forces.
White 3 takes one stone. This move will help stones at the bottom to survive.
Black 4 prevents connection.
White 5 increases the space and at the same time threatens to start a fight.
Black 6 connects solidly. In the fight for life it is important not to give the opponent a forcing move. But could Black connect at 7?
White 7 cuts and now White threatens to capture two black stones and connect to the main forces.
Black 8 defends the stones solidly.
White 9 expands the living space and threatens to connect to another group.
Black 10 prevents the connection.