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Rolle's Theorem

Category : JEE Main & Advanced

 If \[f(x)\]is such that,


(i) It is continuous in the closed interval  \[[a,\,\,b]\]


(ii) It is derivable in the open interval \[(a,\,b)\]


(iii) \[f(a)=f(b)\]


Then there exists at least one value \['c'\] of \[x\] in the open interval \[(a,\,\,b)\] such that \[f'(c)=0\].


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