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NDA 2026 · PYQ · Differentiation · easy

What is the derivative of x/|x| with respect to x, where x < 0?

  1. A.-1
  2. B.0✓ Correct
  3. C.1
  4. D.x

Explanation

For x < 0, |x| = -x, so x/|x| = x/(-x) = -1. The derivative of a constant -1 with respect to x is 0.
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