Did the Prophet, peace be upon him, prayed tahajjud during ramadan ?
Shaikh Waleed Boghdady:
Tahajjud prayer is the night prayers performed late at night. It is Tahajjud when the person sleeps then wakes up to pray night prayers. So if the person did not sleep and prayed late at night then this will not be Tahajjud.
As for Ramadan, the Prophet, peace be upon him, prayed Taraweeh prayers after Nafilah of Ishaa for 3 days in congregation in the mosque, then he stopped praying it in congregation as he was afraid that they might take it as an obligation upon them.
As for Tahajjud in Ramadan, there is a strong difference in opinion among the Scholars whether it is Sunnah to pray both, Taraweeh after Ishaa and Tahajjud later at night, or to only pray one of them, and I go with the opinion that it is allowed to pray both Taraweeh then Tahajjud and Allah knows best.