A: Every differentiable function is continuous. R: Every continuous function is differentiable.

JEE Advanced hard Year: 2018 Maths
Choose the correct option for Assertion (A) and Reason (R).
Options
  1. A True, R True and R explains A
  2. A True, R True but R doesn’t explain A
  3. A True, R False
  4. A False, R True
Answer
A True, R False
Solution
Counterexample: |x| is continuous but not differentiable at 0.