My Dd was 2 in may as well.
I was only saying to my mum this morning about her tantrums over everything!
She is such a fun little girl, and has always been very vocal and spirited, but the constant tantrums are starting to grate on my nerves too.
But, i do think its "just a phase" and it will pass when they can communicate better.
Then the next "phase" will start!