Oxford University Mathematician takes Admissions Interview (with @AnotherRoof)

Oxford University Mathematician Dr Tom Crawford gets a taste of his own medicine as he is asked some admissions interview questions by Alex from @AnotherRoof. Part 1 where Tom interviews Alex is here: https://www.youtube.com/watch?v=xrfLDuehzog *CORRECTION: For the 1st question l'hopital's rule can only be used when the derivatives are continuous and technically we are not told this in the question. Interview questions covered in the video: 1. If f(x+y)=f(x)f(y) and f'(0)=3, what is f(x)? 2. How many zeroes does 1000! have? Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: https://www.conted.ox.ac.uk/ For more maths content check out Tom's website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. https://www.facebook.com/tomrocksmaths/ https://twitter.com/tomrocksmaths https://www.instagram.com/tomrocksmaths/ Get your Tom Rocks Maths merchandise here: https://www.beautifulequation.com/collections/tom-rocks-maths