Preheat oven to 350°F degrees.
Mix graham cracker crumbs with butter and sugar.
Press crust mixture into springform pan bottom.
Bake crust for 10 minutes exactly.
Combine flour, brown sugar, and spices together.
Add oil, egg, and grated carrots slowly.
Mix carrot cake batter until just combined.
Beat cream cheese until completely smooth and fluffy.
Add sugar, eggs, vanilla, and sour cream.
Pour half cheesecake mixture over baked crust.
Spread carrot cake batter over cheesecake layer.
Top with remaining cheesecake mixture carefully.
Bake for 55-60 minutes until center sets.
Cool completely before removing from pan.
Refrigerate for at least 3 hours minimum.