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State Lagrange'S Mean Value Theorem ?

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प्रश्न

State Lagrange's mean value theorem ?

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उत्तर

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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mean Value Theorems - Exercise 15.3 [पृष्ठ १९]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 14 Mean Value Theorems
Exercise 15.3 | Q 3 | पृष्ठ १९

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