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If f(x)={(x^(alpha)logx , x > 0),(0, x=...

If `f(x)={(x^(alpha)logx , x > 0),(0, x=0):}` and Rolle's theorem is applicable to `f(x)` for `x in [0, 1]` then `alpha` may equal to (A) -2 (B) -1 (C) 0 (D) `1/2`

A

`-1`

B

`-1//2`

C

0

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
D
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