In a medium bowl, cream together the cream cheese and sugar.
Add the eggs, one at a time, beating well after each addition.
Blend in the vanilla extract and whipping cream.
Spoon this cheesecake batter slowly and evenly over the carrot cake batter already in the spring form pan.
Place in pre-heated oven and bake for 1/2 hour.
Reduce the heat to 300°F.
Bake for an additional 45 minutes.
When the cheesecake begins to turn brown at the edges, test with a cake tester; if middle is done, remove from the oven.
Cool on a wire rack for 15 minutes before running a sharp knife all the way around the outside edge of the cake.
Leave on the wire rack until completely cooled and then refrigerate.