What is the derivative of \( \frac{x}{|x|} \) with respect to x, where x < 0 ?
- A. -1
- B. 0 ✓
- C. 1
- 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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