Differentiability at a Point and over an Interval; relationship between continuity and differentiability — IITM BS previous year questions

Differentiability at a Point and over an Interval; relationship between continuity and differentiability is part of Concept of the Derivative, Week 8 in Mathematics 1. Prasnya files every IIT Madras BS previous year question from this subtopic here, each one with a worked explanation. Take the whole set as a timed mock and you get accuracy, pacing and per-question analysis back.