本次共计算 1 个题目:每一题对 x 求 2 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数\frac{1}{(1 + 0.792{e}^{(0.136x)})} 关于 x 的 2 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{1}{(0.792{e}^{(0.136x)} + 1)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{1}{(0.792{e}^{(0.136x)} + 1)}\right)}{dx}\\=&(\frac{-(0.792({e}^{(0.136x)}((0.136)ln(e) + \frac{(0.136x)(0)}{(e)})) + 0)}{(0.792{e}^{(0.136x)} + 1)^{2}})\\=&\frac{-0.107712{e}^{(0.136x)}}{(0.792{e}^{(0.136x)} + 1)(0.792{e}^{(0.136x)} + 1)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{-0.107712{e}^{(0.136x)}}{(0.792{e}^{(0.136x)} + 1)(0.792{e}^{(0.136x)} + 1)}\right)}{dx}\\=&\frac{-0.107712(\frac{-(0.792({e}^{(0.136x)}((0.136)ln(e) + \frac{(0.136x)(0)}{(e)})) + 0)}{(0.792{e}^{(0.136x)} + 1)^{2}}){e}^{(0.136x)}}{(0.792{e}^{(0.136x)} + 1)} - \frac{0.107712(\frac{-(0.792({e}^{(0.136x)}((0.136)ln(e) + \frac{(0.136x)(0)}{(e)})) + 0)}{(0.792{e}^{(0.136x)} + 1)^{2}}){e}^{(0.136x)}}{(0.792{e}^{(0.136x)} + 1)} - \frac{0.107712({e}^{(0.136x)}((0.136)ln(e) + \frac{(0.136x)(0)}{(e)}))}{(0.792{e}^{(0.136x)} + 1)(0.792{e}^{(0.136x)} + 1)}\\=&\frac{0.011601874944{e}^{(0.136x)}{e}^{(0.136x)}}{(0.792{e}^{(0.136x)} + 1)(0.792{e}^{(0.136x)} + 1)(0.792{e}^{(0.136x)} + 1)} + \frac{0.011601874944{e}^{(0.136x)}{e}^{(0.136x)}}{(0.792{e}^{(0.136x)} + 1)(0.792{e}^{(0.136x)} + 1)(0.792{e}^{(0.136x)} + 1)} - \frac{0.014648832{e}^{(0.136x)}}{(0.792{e}^{(0.136x)} + 1)(0.792{e}^{(0.136x)} + 1)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!