If f(x) = x² ln x for x > 0, what is f'(x)?
Correct answer: A. 2x ln x + x
- A. 2x ln x + x
- B. x²/x
- C. 2x + ln x
- D. x ln x + 2x
Explanation
The product rule gives f'(x) = 2x ln x + x²(1/x), which simplifies to 2x ln x + x. The option x²/x is only the derivative of ln x multiplied by x² and omits the other product-rule term.
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