Preheat oven to 400 degrees. Grease muffin tins or add liners.
In a large bowl or stand mixer; stir eggs, oil and vanilla. Add grated carrots, zucchini and apples. Stir together until all fruit/veggies are mixed well.
Gradually add flour, sugar, cinnamon, baking soda, salt and baking powder into the bowl. If batter becomes too thick for the mixer, fold it in.
Pour into muffin tin, at least 3/4 full.
Bake at 400 degrees for 10 minutes, lower oven temperature to 350 degrees and bake for an additional 15 minutes or until a toothpick comes out clean.
Move to a cooling rack and allow to cool for about 10 minutes.