What is the derivative of \( \frac{x}{|x|} \) with respect to x, where x < 0 ?

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

Correct Answer: B. 0

Explanation

For x < 0, the absolute value |x| equals -x. The function simplifies to x / (-x) = -1. The derivative of a constant function is 0.

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