Preheat the oven to 350 degrees F.
Grease a 9x13" baking dish. Set aside.
In a large bowl, whisk together the melted butter and sugar.
Add the eggs, egg yolk, and vanilla, whisking well to combine.
Add the grated carrots, stirring well to combine.
Add the baking soda, baking powder, salt, cinnamon, nutmeg, and cloves, and mix in with a spatula.
Finally, add the flour, mixing until well combined.
Pour the batter into the prepared baking pan.
Bake in the preheated oven for 40-45 minutes, until the middle is set and a toothpick comes out of the center clean.