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Examine if Rolle.s theorem is applicable...

Examine if Rolle.s theorem is applicable to the following functions :
(i) `f(x)=|x|"on"[-1,1]`
(ii) `f(x)=[x]"on"[-1,1]`
(iii) `f(x)=sinx"on"[0,pi]`
(iv) `f(x)=cotx"on"[0,pi]`

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