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2001

JEE Main 2001 Mathematics question on Limits Continuity and Differentiability

Which of the following functions is differentiable at x=0x = 0?
  1. A.
    cos⁡(∣x∣)+∣x∣\cos(|x|) + |x|
  2. B.
    cos⁡(∣x∣)−∣x∣\cos(|x|) - |x|
  3. C.
    sin⁡(∣x∣)+∣x∣\sin(|x|) + |x|
  4. D.
    sin⁡(∣x∣)−∣x∣\sin(|x|) - |x|
Show answer

Correct option: D

[2001]

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