Preheat the oven to 350 F.
Spray an 8-inch round springform pan with baking spray and line the bottom with parchment paper.
Using a large bowl, beat together the cream cheese and powdered sugar until smooth and combined.
Next, beat in the eggs, but 1 at a time to make sure that they are well incorporated.
Beat in the vanilla until combined.
Set your cheesecake mixture aside while you make the carrot cake batter.
Using a large bowl, whisk together the flour, baking soda, baking powder, salt, cinnamon, and nutmeg.
In a separate bowl combine the brown sugar, sugar, canola oil, vanilla, eggs, and grated carrots. Mix until well combined.
Gradually whisk in the dry ingredients until well incorporated.