Continuity and Differentiability — Class 12 Maths Solution

exemplar fill FillBlank NCERT Exemp. Ex.5.3 ,Q.97,Page 116
Question

An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is …………

Step-by-step Solution

$|x| + |x - 1|$ is continuous everywhere but fails to be differentiable exactly at two points $x = 0$ and $x = 1$.
So, there can be more such examples of functions.

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Continuity and Differentiability. Curated by Sachin Sharma. Free for all students.