“Rolle's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Rolle's Theorem

释义

Rolle's Theorem

Let f be a continuous function on [a,b] and differentiable on (a,b), such that f(a) = f(b). Then there exists c with a

Two stationary points in (a,b)

The theorem is a special case of the mean value theorem. A rigorous proof relies on a continuous function on a closed, bounded interval attaining its bounds (Weierstrass' Theorem).

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