Preheat oven to 350°F (175°C). Line a muffin tin with paper liners.
In a large bowl, whisk together flour, baking powder, baking soda, salt, cinnamon, and nutmeg.
In another bowl, combine vegetable oil, sugar, eggs, and vanilla extract. Mix well.
Gradually add the wet ingredients to the dry ingredients, stirring until just combined.
Fold in the grated carrots.
Divide the batter evenly among the muffin cups.
Bake for 20 minutes or until a toothpick inserted into the center comes out clean.
Allow muffins to cool in the tin for 5 minutes, then transfer to a wire rack to cool completely.