The derivative of x² eˣ sin x is:
The derivative of x² eˣ sin x is:
- A. x eˣ (2 sin x + x sin x + x cos x)
- B. x eˣ (2 sin x + x sin x − x cos x)
- C. x eˣ (2 sin x + x sin x + x cos x + cos x)
- D. eˣ x (sin x + x cos x)
Answer: A) x eˣ (2 sin x + x sin x + x cos x)
Explanation: d/dx [x² eˣ sin x] = 2x eˣ sin x + x² eˣ sin x + x² eˣ cos x = x eˣ (2 sin x + x sin x + x cos x).
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