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For positive x, the product x^3 ln x has slope function
A3x^2 ln x + x
Bx^2 (ln x + 3)
Cx^2 ln x + 3x
Dx^2 (3 ln x + 1)
Answer & Solution
Correct answer: D. x^2 (3 ln x + 1)
The product rule gives 3x^2 ln x + x^3 (1/x), which factors as x^2 (3 ln x + 1).
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