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Question
State Lagrange's mean value theorem ?
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Solution
Lagrange's Mean Value Theorem:
Let \[f\left( x \right)\] be a function defined on \[\left[ a, b \right]\] such that
(i) it is continuous on \[\left[ a, b \right]\] and
(ii) it is differentiable on \[\left( a, b \right)\].
Then, there exists a real number \[c \in \left( a, b \right)\] such that
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