Category:Extended Mean Value Theorem
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This category contains pages concerning Extended Mean Value Theorem:
Let $f$ be a real function which is continuous on the closed interval $\closedint a b$ and differentiable on the open interval $\openint a b$.
Let $f'$ be the derivative of $f$.
Let $f'$ also be a real function which is continuous on the closed interval $\closedint a b$ and differentiable on the open interval $\openint a b$.
Then:
- $\exists \xi \in \openint a b: \map f b = \map f a + \paren {b - a} \map {f'} a + \dfrac 1 {2!} \paren {b - a}^2 \map {f' '} \xi$
Pages in category "Extended Mean Value Theorem"
The following 5 pages are in this category, out of 5 total.