Category:Cauchy Mean Value Theorem
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This category contains pages concerning Cauchy Mean Value Theorem:
Let $f$ and $g$ be real functions which are continuous on the closed interval $\closedint a b$ and differentiable on the open interval $\openint a b$.
Suppose:
- $\forall x \in \openint a b: \map {g'} x \ne 0$
Then:
- $\exists \xi \in \openint a b: \dfrac {\map {f'} \xi} {\map {g'} \xi} = \dfrac {\map f b - \map f a} {\map g b - \map g a}$
Source of Name
This entry was named for Augustin Louis Cauchy.
Pages in category "Cauchy Mean Value Theorem"
The following 6 pages are in this category, out of 6 total.