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。\[ \begin{equation}\begin{split}【1/1】求函数({(\frac{1}{(1 + \frac{1.89(50 * {10}^{-6}*3*3.14){10}^{-7}}{({(10 * {10}^{-6})}^{2}*100*1.4*1000{x}^{2})})})}^{2}(-1225{x}^{2})) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{-1225x^{2}}{(\frac{0.0063585}{x} + 1)(\frac{0.0063585}{x} + 1)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{-1225x^{2}}{(\frac{0.0063585}{x} + 1)(\frac{0.0063585}{x} + 1)}\right)}{dx}\\=&\frac{-1225(\frac{-(\frac{0.0063585*-1}{x^{2}} + 0)}{(\frac{0.0063585}{x} + 1)^{2}})x^{2}}{(\frac{0.0063585}{x} + 1)} - \frac{1225(\frac{-(\frac{0.0063585*-1}{x^{2}} + 0)}{(\frac{0.0063585}{x} + 1)^{2}})x^{2}}{(\frac{0.0063585}{x} + 1)} - \frac{1225*2x}{(\frac{0.0063585}{x} + 1)(\frac{0.0063585}{x} + 1)}\\=&\frac{-7.7891625}{(\frac{0.0063585}{x} + 1)(\frac{0.0063585}{x} + 1)(\frac{0.0063585}{x} + 1)} - \frac{7.7891625}{(\frac{0.0063585}{x} + 1)(\frac{0.0063585}{x} + 1)(\frac{0.0063585}{x} + 1)} - \frac{2450x}{(\frac{0.0063585}{x} + 1)(\frac{0.0063585}{x} + 1)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!