Can the ender dragon see you in minecraft when you have a potion of invisibility
Solution 1:
The Ender Dragon is not influenced by invisibility potions. Source: I just tested it in a creative world.
This is true for 1.8.3. I haven't tested any other versions.
Solution 2:
The dragon doesn't dive bomb you when invisibility is in affect. However I've noticed it will throw magic bombs and dive bomb the last location arrows are shot from.
Way to win. Invisibility. Feather fall. Make a pillar. Shot crystals from pillar. Make way to enclosed crystals and destroy. Then kill dragon with arrows slowly.