Discuss the applicability for Rolle’s theorem, when:


Condition (1):


Since, f(x)=x1/2 is a polynomial and we know every polynomial function is continuous for all xϵR.


f(x)= x1/2 is continuous on [-1,1].


Condition (2):


Here, which does not exist at x=0 in [-1,1].


f(x)=x1/2 is not differentiable on (-1,1).


Condition (2) of Rolle’s theorem is not satisfied.


So,Rolle’s theorem is not applicable.


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