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。\[ \begin{equation}\begin{split}【1/1】求函数\frac{-5{x}^{2}}{({(\frac{1}{x} - 1)}^{2})} + \frac{353300{x}^{2}}{(1.6258(C(\frac{1}{x} - 1)) - 1)} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{-5x^{2}}{(\frac{1}{x} - 1)(\frac{1}{x} - 1)} + \frac{353300x^{2}}{(\frac{1.6258C}{x} - 1.6258C - 1)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{-5x^{2}}{(\frac{1}{x} - 1)(\frac{1}{x} - 1)} + \frac{353300x^{2}}{(\frac{1.6258C}{x} - 1.6258C - 1)}\right)}{dx}\\=&\frac{-5(\frac{-(\frac{-1}{x^{2}} + 0)}{(\frac{1}{x} - 1)^{2}})x^{2}}{(\frac{1}{x} - 1)} - \frac{5(\frac{-(\frac{-1}{x^{2}} + 0)}{(\frac{1}{x} - 1)^{2}})x^{2}}{(\frac{1}{x} - 1)} - \frac{5*2x}{(\frac{1}{x} - 1)(\frac{1}{x} - 1)} + 353300(\frac{-(\frac{1.6258C*-1}{x^{2}} + 0 + 0)}{(\frac{1.6258C}{x} - 1.6258C - 1)^{2}})x^{2} + \frac{353300*2x}{(\frac{1.6258C}{x} - 1.6258C - 1)}\\=&\frac{-5}{(\frac{1}{x} - 1)(\frac{1}{x} - 1)(\frac{1}{x} - 1)} - \frac{5}{(\frac{1}{x} - 1)(\frac{1}{x} - 1)(\frac{1}{x} - 1)} - \frac{10x}{(\frac{1}{x} - 1)(\frac{1}{x} - 1)} + \frac{574395.14C}{(\frac{1.6258C}{x} - 1.6258C - 1)(\frac{1.6258C}{x} - 1.6258C - 1)} + \frac{706600x}{(\frac{1.6258C}{x} - 1.6258C - 1)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!