The number of points in (0, 2) where f(x) = |x − 1| + |x − 3| is not differentiable is: A. 1 B. 2 C. 0 D. 3 Answer: A) 1 Explanation: f(x) has sharp turns at x=1 and x=3. In (0,2), only x=1 lies. So 1 point of non-differentiability.

imo class 12 continuity and differentiability

The number of points in (0, 2) where f(x) = |x − 1| + |x − 3| is not differentiable is:

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The number of points in (0, 2) where f(x) = |x − 1| + |x − 3| is not differentiable is:

Answer: A) 1

Explanation: f(x) has sharp turns at x=1 and x=3. In (0,2), only x=1 lies. So 1 point of non-differentiability.