Each level has 3 regular carrots and one gold carrot to collect, except for the first level which does not have a gold carrot. These are the games currency. Most of the carrots are extremely obvious and usually in your main path which makes this trophy practically impossible to avoid.
The first carrot of the game is in the first level of the first world. At the start of the level walk right, drop off the ledge and jump over the two gaps, the carrot will be right in front of you. Just walk through the carrot to collect it and unlock this trophy.