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Find which function does not obey Mean ...

Find which function does not obey Mean Value Theorem in `[0,1]` :

A

`f(x)={:((1)/(2)-x","xlt(1)/(2)),(((1)/(2)-x)^(2)","x ge(1)/(2)):}`

B

`f(x)={{:((sinx)/(x)","x ne 0),(1","x=0):}`

C

`f(x)=x|x|`

D

`f(x)=|x|`

Text Solution

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The correct Answer is:
A
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