If \( f(x)=x^{\alpha} \log x \) and \( f(0)=0 \), then the value of ' \( \alpha \) ' for which R... VIDEO
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
(a) \( -2 \)
(b) \( -1 \)
(c) 0
(d) \( \frac{1}{2} \)
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