Question:

Which of the following functions is differentiable at x=0?

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Differentiability requires LHD = RHD.
Updated On: Mar 18, 2026
  • (|x|)+|x|
  • (|x|)-|x|
  • (|x|)+|x|
  • (|x|)-|x|
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The Correct Option is D

Solution and Explanation


Step 1:
Check left and right derivatives at x=0.
Step 2:
Only option (D) has equal derivatives.
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