Final answer:
The major nerve of the lower extremities derived from the femoral nerve is the sciatic nerve.
Step-by-step explanation:
The major nerve of the lower extremities derived from the femoral nerve is the sciatic nerve.
The sciatic nerve is a systemic nerve that originates from the sacral plexus and is a combination of the tibial and fibular nerves. It extends across the hip joint and gluteal region into the upper posterior leg.
Therefore, the sciatic nerve is the main nerve derived from the femoral nerve that supplies the lower extremities.