If f(x) = x^(a) log x and f(0) = 0 then...

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

A

(a) `-2`

B

(b) `-1`

C

(c) `0`

D

(d) `1/2`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If f(x) = x^2 +3x+2 , then find the value of x for which f'(x) =0.

If f'(x)=x^2+5 and f(0)=-1 then f(x)=

For the function f(x)=e^cosx , Rolle's theorem is

If f(x) = x for x le 0 = 0 for x gt 0 , then f(x) at x = 0 is

For the function f(x)=e^x,a=0,b=1 , the value of c in mean value theorem will be

If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0 , then the value of f(0) so that f is continuous at x = 0 is

IF f(x)=1/(x+1)-log(1+x),xgt0 , then f is