Remark 1

Tag 0843, permanent. Cite it as [Bourbaki, Tag 0843].

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

Prop. 2 remains true when one replaces the interval $[a, b[$ by ] $a, b$ and the words "right derivative" by "left derivative".

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

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