Why does Mean Value Theroem assumes close interval for continuity and open interval for differentiability? – math.stackexchange.com

Why does Mean Value Theroem assumes close interval for continuity and open interval for differentiability? – math.stackexchange.com

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Why does Mean Value Theroem assumes close interval for continuity and open interval for differentiability? The MVT says: Let $f$ be a countinuous function on $[a,b]$ that is differentiable on ...

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