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in Continuity and Differentiability by (29.3k points)
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State Lagrange’s mean value theorem.

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Lagrange’s Mean Value Theorem is stated as below :-

Let f(x) be a function defined on a, b such that

i. It is continuous on a, b and

ii. It is differentiable on a, b.

Then there exists a real number c Є a, b such that f'(c) = \(\frac{f(b) - f(a)}{b - a}.\)

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