Lagrange's Mean Value Theorem
Category : JEE Main & Advanced
If a function \[f(x)\] is such that,
(i) It is continuous in the closed interval \[[a,b]\]
(ii) It is derivable in the open interval \[(a,\,b)\]
Then there exists at least one value \['c'\] of \[x\] in the open interval \[(a,b)\] such that \[\frac{f(b)-f(a)}{b-a}=f'(c)\].
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