```tex
\begin{theorem}{达布定理}
$\text{设}f\left(x\right)\text{在}\left[a,b\right]\text{上可导},$
$\text{且...
```tex
\begin{theorem}{达布定理}
$\text{设}f\left(x\right)\text{在}\left[a,b\right]\text{上可导},$
$\text{且}f'_-\left(a\right)\text{与}f'_{+}\left(b\right)\text{不相等},$
$c\text{是夹在}f'_-\left(a\right)\text{与}f'_{+}\left(b\right)\text{之间的一个数}$,
$\text{则存在}\xi\in\left(a,b\right)\text{使得}f'\left(\xi\right)=c$
\end{theorem}
```![](https://pics.latexstudio.net/data/images/202002/c50bf974f6a80ac.png)
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