Bourbaki

Remark 1

Tag 089C, permanent. Cite it as [Bourbaki, Tag 089C].

Functions of a Real Variable, chapter II, § 3. DERIVATIVES AND INTEGRALS OF FUNCTIONS DEPENDING ON A PARAMETER

Conditions 1 and 2 of prop. 7 are satisfied a fortiori when fα′(x,α)f'_\alpha(x, \alpha) is a continuous function of (x,α)(x, \alpha) on I×VI \times V.

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

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Cites

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Transcribed from the printed volume. Not translated.