Question:medium

If \( f(x) = x^\alpha \log x \) and \( f(0) = 0 \), then the value of \( \alpha \) for which Rolle's theorem can be applied in \( [0, 1] \) is:

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For Rolle’s theorem, the function must be continuous and differentiable on the interval, and have equal values at the endpoints.
Updated On: Mar 25, 2026
  • -2
  • -1
  • 0
  • \( \frac{1}{2} \)
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The Correct Option is D

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