Cauchy Mean Value Theorem/Also presented as

Cauchy Mean Value Theorem: Also presented as

The Cauchy Mean Value Theorem can also be found presented as:

$\exists \xi \in \openint a b: \map {f'} \xi \paren {\map g b - \map g a} = \map {g'} \xi \paren {\map f b - \map f a}$

where:

$f$ and $g$ are continuous real functions on $\closedint a b$ and differentiable on $\openint a b$

$\forall x \in \openint a b: \map {g'} x \ne 0$.

Sources

• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Cauchy's mean value theorem