本次共计算 1 个题目:每一题对 n 求 1 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数({n}^{2} - 9.4n - 50.09 - \frac{131.6}{n} + {(\frac{14}{n})}^{2})({n}^{2} - 9.4n - 50.09 - \frac{131.6}{n} + {(\frac{14}{n})}^{2}) 关于 n 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = n^{4} - 9.4n^{3} - 131.6n - 9.4n^{3} - \frac{1842.4}{n} + 88.36n^{2} + 470.846n - 131.6n - \frac{25793.6}{n^{3}} + 470.846n + \frac{6591.844}{n} - \frac{1842.4}{n} + \frac{6591.844}{n} + \frac{17318.56}{n^{2}} - \frac{25793.6}{n^{3}} + \frac{38416}{n^{4}} - 50.09n^{2} - \frac{9817.64}{n^{2}} - 50.09n^{2} - \frac{9817.64}{n^{2}} + 5375.0881\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( n^{4} - 9.4n^{3} - 131.6n - 9.4n^{3} - \frac{1842.4}{n} + 88.36n^{2} + 470.846n - 131.6n - \frac{25793.6}{n^{3}} + 470.846n + \frac{6591.844}{n} - \frac{1842.4}{n} + \frac{6591.844}{n} + \frac{17318.56}{n^{2}} - \frac{25793.6}{n^{3}} + \frac{38416}{n^{4}} - 50.09n^{2} - \frac{9817.64}{n^{2}} - 50.09n^{2} - \frac{9817.64}{n^{2}} + 5375.0881\right)}{dn}\\=&4n^{3} - 9.4*3n^{2} - 131.6 - 9.4*3n^{2} - \frac{1842.4*-1}{n^{2}} + 88.36*2n + 470.846 - 131.6 - \frac{25793.6*-3}{n^{4}} + 470.846 + \frac{6591.844*-1}{n^{2}} - \frac{1842.4*-1}{n^{2}} + \frac{6591.844*-1}{n^{2}} + \frac{17318.56*-2}{n^{3}} - \frac{25793.6*-3}{n^{4}} + \frac{38416*-4}{n^{5}} - 50.09*2n - \frac{9817.64*-2}{n^{3}} - 50.09*2n - \frac{9817.64*-2}{n^{3}} + 0\\=&4n^{3} - 28.2n^{2} - 28.2n^{2} + \frac{1842.4}{n^{2}} + 176.72n + \frac{77380.8}{n^{4}} - \frac{6591.844}{n^{2}} + \frac{1842.4}{n^{2}} - \frac{6591.844}{n^{2}} - \frac{34637.12}{n^{3}} + \frac{77380.8}{n^{4}} - \frac{153664}{n^{5}} - 100.18n + \frac{19635.28}{n^{3}} - 100.18n + \frac{19635.28}{n^{3}} + 678.492\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!