本次共计算 1 个题目:每一题对 x 求 1 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数\frac{(1 + \frac{{(1 - x)}^{1}}{2})}{(1 - \frac{{(1 - x)}^{1}}{2})} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{\frac{-1}{2}x}{(\frac{1}{2}x + \frac{1}{2})} + \frac{\frac{3}{2}}{(\frac{1}{2}x + \frac{1}{2})}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{\frac{-1}{2}x}{(\frac{1}{2}x + \frac{1}{2})} + \frac{\frac{3}{2}}{(\frac{1}{2}x + \frac{1}{2})}\right)}{dx}\\=&\frac{-1}{2}(\frac{-(\frac{1}{2} + 0)}{(\frac{1}{2}x + \frac{1}{2})^{2}})x - \frac{\frac{1}{2}}{(\frac{1}{2}x + \frac{1}{2})} + \frac{3}{2}(\frac{-(\frac{1}{2} + 0)}{(\frac{1}{2}x + \frac{1}{2})^{2}})\\=&\frac{x}{4(\frac{1}{2}x + \frac{1}{2})^{2}} - \frac{3}{4(\frac{1}{2}x + \frac{1}{2})^{2}} - \frac{1}{2(\frac{1}{2}x + \frac{1}{2})}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!