The derivative of sin(x³) with respect to x is:
The derivative of sin(x³) with respect to x is:
- A. cos(x³)
- B. 3x² cos(x³)
- C. −3x² cos(x³)
- D. 3x² sin(x³)
Answer: B) 3x² cos(x³)
Explanation: Using the chain rule: d/dx(sin(u)) = cos(u) × u'. Here u = x³, so u' = 3x². Result is 3x² cos(x³).
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