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# Solution for State Lagrange'S Mean Value Theorem ? - CBSE (Commerce) Class 12 - Mathematics

ConceptMaximum and Minimum Values of a Function in a Closed Interval

#### Question

State Lagrange's mean value theorem ?

#### 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

$f'\left( c \right) = \frac{f\left( b \right) - f\left( a \right)}{b - a}$ .
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#### APPEARS IN

Solution for question: State Lagrange'S Mean Value Theorem ? concept: Maximum and Minimum Values of a Function in a Closed Interval. For the courses CBSE (Commerce), CBSE (Arts), PUC Karnataka Science, CBSE (Science)
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