Find d/dx (x² sin x) by product rule:
A2x cos x
B2x sin x
Cx² cos x + 2x sin x
Dx² + sin x
Answer & Solution
Correct answer: C. x² cos x + 2x sin x
Product rule: (fg)' = f'g + fg'. With f = x², g = sin x: derivative = 2x × sin x + x² × cos x = 2x sin x + x² cos x.
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