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Rolle's theorem is not applicable to the...

Rolle's theorem is not applicable to the function `f(x)=|x|"for"-2 le x le2` becase

A

f is continuous for `-2 le x le 2`

B

f is not derivable for x=0

C

`f(-2)=f(2)`

D

f is not a constant function

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The correct Answer is:
B
Since, `f(x)=|x|,AA-2lexle2`
`={{:(-x",",AA-2lexlt0),(x",",AA0lexle2):}`
This function is not derivable at x=0, therefore, Rollen's theorem is not applicable.
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