Remark

Tag 0846, permanent. Cite it as [Bourbaki, Tag 0846].

Functions of a Real Variable, chapter I, § 2. THE MEAN VALUE THEOREM

Th. 1 fails if one allows $f'_d$ and $g'$ to be simultaneously infinite on an uncountable subset of I (cf. I, p. 37, exerc. 3).

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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