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The Rolle's theorem is applicable in the...

The Rolle's theorem is applicable in the interval `-1le x le1` for the function

A

`f(x)=x`

B

`f(x)=x^(2)`

C

`f(x)=2x^(3)+3`

D

`f(x)=|x|`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `f(x)=x^(2)`
`thereforef(1)=f(-1)=1`
Also, f(x) is continuous and differentiable in the given interval.
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