The clamp  

is not a recommended move because iof the clamp at . Next, Black should play a, b being a mistake.

Best  

A classical case of cut the side you don't want and capture the cutting stone. This variation depends on a ladder. If it works it is usually the better choice.

Cutting the other side  

Black may favor the corner, especially if the ladder in the previous diagram doesn't work, but usually this is better for White. can be omitted to play elsewhere.

Not good  

If black does play at , then . If Black cuts on the outside, this result follows which is good for White.

Playable if ladder  

However, if the ladder doesn't work for White, the inside atari is playable.

Revert

Revert  

This reverts to the 4-4 point, 3-3 invasion and is not White's best option, which shows that was not Black's best option.

Hane

Hane  

is lukewarm. Black can turn and take sente

Hane 2  

This way White can take sente but Black's thickness is superior. White is low.

Wedge

Fight and squeeze  

at . at a.