Preheat oven to 350 degrees and grease a 9-inch springform pan.
For the carrot cake: In a large bowl, blend together the butter, erythritol, Stevia, eggs, vanilla, and carrot.
Add in the almond flour, coconut flour, cinnamon, baking soda, and pinch of salt. Mix until combined. Pour into the prepared pan.
For the cheesecake layer: In a large bowl, beat the cream cheese, erythritol (monkfruit), and Stevia together. Mix in the eggs, vanilla, and lemon juice until combined. Pour batter on top of the carrot cake layer.
Bake for 40-50 minutes or until middle is set. Cover with foil if cheesecake is browning too much. Let cheesecake cool to room temperature then refrigerate for 4 hours or overnight.
For the frosting: Beat the cream cheese, butter, powdered Swerve, vanilla, and cream until smooth. Frost the top of the cooled cheesecake and garnish with nuts if desired.