f(x)=∣x−1∣ has a corner at x=1 where left derivative is −1 and right derivative is +1. These differ, so not differentiable at x=1. Differentiable elsewhere.
The function f(x) = |x - 1| is
CUET UG 2022 — Mathematics Calculus
2022mcqeasy
The function f(x)=∣x−1∣ is
Official previous-year question
Held on 16 Jul 2022 · Verified 13 Jul 2026.
Options
- A
differentiable at every point in its domain.
- B
not differentiable at x=0.
- C
not differentiable at x=1.
- D
not differentiable at any of the point in its domain.
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