Foryoueats: Carrot Cake Muffins

3/4 cup vegetable oil

1 cup sugar

2 eggs, large

1 tsp vanilla extract

1/4 cup milk or buttermilk

2 tsp ground cinnamon

1/2 tsp ground ginger

1/4 tsp ground nutmeg

1/4 tsp ground glove

1/2 tsp salt

1 1/2 tsp baking powder

1/2 tsp baking soda

1 1/3 cup all purpose flour

1 1/2 cups grated carrot, lightly packed

3/4 cup walnuts, chopped

1/2 cup grated coconut (unsweetened)

3 tbsp butter

6 ounces cream cheese

pinch salt

2 1/2 cups powdered sugar

1 tsp fresh lemon juice

1/4 cup chopped walnuts

Carrot Cake Muffins