**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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