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Value of c of Rolle's theorem for f(x)=l...

Value of `c` of Rolle's theorem for `f(x)=log(x^(4)+3)` on `[-1,1]`

A

0

B

1

C

-1

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
A
Given `f(x)=log(x^(4)+3)`
`f'(x)=1/(x+3)xx4x^(3)`
Put `f'(c)=4c^(3)=0`
`implies c=0 epsilon[-1,1)`
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