NDA 2026 · PYQ · Differentiation · easy
What is the derivative of x/|x| with respect to x, where x < 0?
Answer
The correct answer is B: 0. For x < 0, |x| = -x, so x/|x| = x/(-x) = -1. The derivative of a constant -1 with respect to x is 0.
- A.-1
- B.0✓ Correct
- C.1
- D.x
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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