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A growth model follows y = x^2 e^x. Its rate of change with x is
A2x e^x + 2
Be^x (x^2 - 2x)
Ce^x (x^2 + 2x)
Dx^2 e^x + 2x
Answer & Solution
Correct answer: C. e^x (x^2 + 2x)
The product rule gives 2x e^x + x^2 e^x, which factors as e^x (x^2 + 2x).
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