JEE Main & Advanced Mathematics Applications of Derivatives Lagrange's Mean Value Theorem

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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