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

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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 ‚Äč \[\left[ a, b \right]\] and

(ii) it is differentiable on \[\left( a, b \right)\].

Then, there exists a real number \[c \in \left( a, b \right)\] such that

\[f'\left( c \right) = \frac{f\left( b \right) - f\left( a \right)}{b - a}\] .
  Is there an error in this question or solution?
Solution State Lagrange'S Mean Value Theorem ? Concept: Maximum and Minimum Values of a Function in a Closed Interval.
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