JEE Advanced Mathematics question
In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) (ii) (iii) (iv) Column II: (a) neither continuous nor differentiable at (b) differentiable and continuous for all (c) continuous but not differentiable at (d) differentiable and continuous at
Answer: (2)
Solution
**(i)** is a product of continuous functions, so it is continuous. For , and . For , and . The one-sided derivatives differ, so is not differentiable at → **(c)**. - **(ii)** , but
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