The derivative of x / sin x with respect to x is:
The derivative of x / sin x with respect to x is:
- A. (sin x − x cos x) / sin²x
- B. (x cos x − sin x) / sin²x
- C. 1 / cos x
- D. (sin x + x cos x) / sin²x
Answer: A) (sin x − x cos x) / sin²x
Explanation: Using quotient rule: (v u' − u v') / v². Here u = x, v = sin x. Output: (sin x (1) − x (cos x)) / sin²x.
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