01 -
Preheat the oven to 350°F. Grease a 9-inch round springform pan with cooking spray and set aside.
02 -
In the bowl of a stand mixer, cream together the cream cheese, granulated sugar, and flour with the paddle attachment until smooth and creamy, about 1 minute. Scrape down the sides of the bowl. Add eggs one at a time, followed by vanilla extract and sour cream, mixing well. Scrape down the bowl as needed. Tap the bowl forcefully on the countertop about 30 times to release air bubbles. Set aside.
03 -
In a large bowl, whisk together vegetable oil, crushed pineapple, granulated sugar, light brown sugar, eggs, and vanilla extract until combined, about 30 seconds. Add spices, flour, baking soda, baking powder, and salt, whisking until just combined, leaving some streaks of flour. Fold in grated carrots and chopped pecans until evenly mixed. Tap the bowl forcefully on the countertop about 30 times to release air bubbles.
04 -
Pour 1 1/2 cups of carrot cake batter into the bottom of the greased springform pan and spread evenly. Add half the cheesecake mixture in dollops without spreading or swirling. Repeat with the remaining carrot cake batter, followed by dollops of the cheesecake batter. Do not mix or spread the layers.
05 -
Bake for 60-65 minutes, tenting the pan with foil after 40 minutes to prevent over-browning. The center should jiggle slightly when done. Cool for 1 hour, then refrigerate covered with plastic wrap or foil for at least 6 hours or overnight before frosting.
06 -
In a medium bowl, beat cream cheese, unsalted butter, and vanilla extract with a handheld mixer until smooth. Add confectioners' sugar and mix until fully combined.
07 -
Spread the frosting evenly over the chilled cheesecake. Garnish with chopped pecans around the rim. Store leftovers in the refrigerator.