I agree with Belle, potatoes are a curse. I once planted them thinking wow, this is kind of neat, different even! and then I found myself with a never-ending stack filling my inventory. They make great gifts for your enemies though.
AS to the carrots, I quote here Reverend Maynard:
“Hear me now, I have seen the light!
They have a consciousness, they have a life, they have a soul!
Let the rabbits wear glasses! Save our brothers!