Lagrange’s mean value theorem

E2001744 UNEXPLORED

Lagrange’s mean value theorem is a fundamental result in calculus that guarantees, for a differentiable function on a closed interval, the existence of at least one point where the instantaneous rate of change equals the average rate of change over that interval.

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Cauchy’s mean value theorem hasSpecialCase Lagrange’s mean value theorem
L’Hôpital’s rule for indeterminate limits proofUses mean value theorem
linked to: Lagrange’s mean value theorem