If an engine failure occurs after rotation, what is the immediate best course of action?

Choosing to land straight ahead after an engine failure occurs shortly after rotation is the best course of action. This approach prioritizes maintaining control of the aircraft and reducing the risks associated with an emergency situation. When an engine failure happens right after takeoff, the aircraft is typically at a low altitude and in a position where maneuvering could be hazardous. Attempting to climb or attempt a controlled stall can complicate the scenario, as the aircraft's performance might be severely affected without full power from both engines.

Landing straight ahead minimizes the chances of losing control, allows the pilot to utilize the available runway, and can often lead to a safer outcome by allowing for rapid descent without the need to make significant turns or other maneuvers that increase the risk of stall or loss of control.

Activating the landing gear in this situation wouldn't be advantageous if the aircraft is unable to maintain altitude or control. Therefore, landing straight ahead is the most prudent decision to ensure safety in the event of an engine failure after takeoff.