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# Solution for State Rolle'S Theorem ? - CBSE (Science) Class 12 - Mathematics

ConceptMaximum and Minimum Values of a Function in a Closed Interval

#### Question

State Rolle's theorem ?

#### Solution

Rolle's Theorem:

Let f  be a real valued function  defined on the closed interval $\left[ a, b \right]$ such that
(i) it is continuous on the closed interval ​ $\left[ a, b \right]$ ,

(ii) it is differentiable on the open interval $\left( a, b \right),$ , and

(iii)  $f\left( a \right) = f\left( b \right)$ Then, there exists a real number $c \in \left( a, b \right)$ such that $f'\left( c \right) = 0$ .

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#### APPEARS IN

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