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。\[ \begin{equation}\begin{split}【1/1】求函数\frac{(\frac{(4 - aa)}{(a - 1)} + a)}{(\frac{(aa - 16)}{(a - 1)})} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = - \frac{a^{2}}{(a - 1)(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})} + \frac{4}{(a - 1)(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})} + \frac{a}{(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( - \frac{a^{2}}{(a - 1)(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})} + \frac{4}{(a - 1)(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})} + \frac{a}{(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})}\right)}{dx}\\=& - \frac{(\frac{-(0 + 0)}{(a - 1)^{2}})a^{2}}{(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})} - \frac{(\frac{-((\frac{-(0 + 0)}{(a - 1)^{2}})a^{2} + 0 - 16(\frac{-(0 + 0)}{(a - 1)^{2}}))}{(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})^{2}})a^{2}}{(a - 1)} + 0 + \frac{4(\frac{-(0 + 0)}{(a - 1)^{2}})}{(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})} + \frac{4(\frac{-((\frac{-(0 + 0)}{(a - 1)^{2}})a^{2} + 0 - 16(\frac{-(0 + 0)}{(a - 1)^{2}}))}{(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})^{2}})}{(a - 1)} + (\frac{-((\frac{-(0 + 0)}{(a - 1)^{2}})a^{2} + 0 - 16(\frac{-(0 + 0)}{(a - 1)^{2}}))}{(\frac{a^{2}}{(a - 1)} - \frac{16}{(a - 1)})^{2}})a + 0\\=& - 0\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!