A 21-year-old woman was found dead at a campsite in Buxton on Sunday afternoon.
Police were called to the campsite at around 5.30pm after concern was raised for the safety of someone staying at the site.
When officers arrived a woman was found dead inside a tent.
The woman has now been identified as 21-year-old Amy Bannister who was reported missing from Derby on Thursday.
Police do not believe there to be any suspicious circumstances.
Amy was a student at the University of Derby and a spokesman said: “The University of Derby was saddened to hear of the tragic death of one of its students, Amy Bannister.
“Amy enrolled at the university in 2012 and was studying on the BSc (Hons) Zoology and Psychology degree course. She was a valued and well liked student, and will be much missed by our community.
“Our thoughts are with her family and friends at this moment in time. The university will continue to offer and provide support to anyone who felt close to Amy at the university.”