求导函数：
输入一个原函数（即需要求导的函数），然后设置需要求导的变量和求导的阶数，点击“下一步”按钮，即可获得该函数相应阶数的导函数。
注意，输入的函数支持数学函数和其它常量。
输入一个原函数（即需要求导的函数），然后设置需要求导的变量和求导的阶数，点击“下一步”按钮，即可获得该函数相应阶数的导函数。
注意，输入的函数支持数学函数和其它常量。
本次共计算 1 个题目：每一题对 n 求 4 阶导数。
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数{(1 + \frac{1}{n})}^{n} 关于 n 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = (\frac{1}{n} + 1)^{n}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( (\frac{1}{n} + 1)^{n}\right)}{dn}\\=&((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))\\=&(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1) - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)n}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( (\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1) - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)n}\right)}{dn}\\=&((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln(\frac{1}{n} + 1) + \frac{(\frac{1}{n} + 1)^{n}(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)} - \frac{(\frac{-(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}})(\frac{1}{n} + 1)^{n}}{n} - \frac{-(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)n^{2}} - \frac{((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)n}\\=&(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1) - \frac{2(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( (\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1) - \frac{2(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{2}}\right)}{dn}\\=&((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln^{2}(\frac{1}{n} + 1) + \frac{(\frac{1}{n} + 1)^{n}*2ln(\frac{1}{n} + 1)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)} - \frac{2(\frac{-(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}})(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{n} - \frac{2*-(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n^{2}} - \frac{2((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{2(\frac{1}{n} + 1)^{n}(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)n(\frac{1}{n} + 1)} - \frac{(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}}{n^{3}} - \frac{-3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{4}} - \frac{((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}}{n^{2}} + \frac{-2(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{2}n^{2}}\\=&(\frac{1}{n} + 1)^{n}ln^{3}(\frac{1}{n} + 1) - \frac{3(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{2}} - \frac{2(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{4}} + \frac{3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{3}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( (\frac{1}{n} + 1)^{n}ln^{3}(\frac{1}{n} + 1) - \frac{3(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{2}} - \frac{2(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{4}} + \frac{3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{3}}\right)}{dn}\\=&((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln^{3}(\frac{1}{n} + 1) + \frac{(\frac{1}{n} + 1)^{n}*3ln^{2}(\frac{1}{n} + 1)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)} - \frac{3(\frac{-(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}})(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{n} - \frac{3*-(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n^{2}} - \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{3(\frac{1}{n} + 1)^{n}*2ln(\frac{1}{n} + 1)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)n(\frac{1}{n} + 1)} - \frac{3(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{n^{3}} - \frac{3*-3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{4}} - \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} - \frac{3(\frac{1}{n} + 1)^{n}(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}n^{3}(\frac{1}{n} + 1)} + \frac{3(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{n^{2}} + \frac{3*-2(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{2}} + \frac{3(\frac{1}{n} + 1)^{n}(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}n^{2}(\frac{1}{n} + 1)} - \frac{2(\frac{-3(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{4}})(\frac{1}{n} + 1)^{n}}{n^{5}} - \frac{2*-5(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{6}} - \frac{2((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{3(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}}{n^{4}} + \frac{3*-4(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{5}} + \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{2}n^{4}} + \frac{3(\frac{-3(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{4}})(\frac{1}{n} + 1)^{n}}{n^{4}} + \frac{3*-4(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{(\frac{-3(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{4}})(\frac{1}{n} + 1)^{n}}{n^{3}} - \frac{-3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{3}n^{3}}\\=&(\frac{1}{n} + 1)^{n}ln^{4}(\frac{1}{n} + 1) - \frac{4(\frac{1}{n} + 1)^{n}ln^{3}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{6(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{6(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{2}} - \frac{8(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{12(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{4}} + \frac{12(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{4(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{3}n^{3}} - \frac{12(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{5}} - \frac{6(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{4}n^{7}} + \frac{16(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{6}} + \frac{11(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{4}n^{6}} - \frac{12(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{5}} - \frac{6(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{4}n^{5}} + \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{4}n^{4}}\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数{(1 + \frac{1}{n})}^{n} 关于 n 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = (\frac{1}{n} + 1)^{n}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( (\frac{1}{n} + 1)^{n}\right)}{dn}\\=&((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))\\=&(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1) - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)n}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( (\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1) - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)n}\right)}{dn}\\=&((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln(\frac{1}{n} + 1) + \frac{(\frac{1}{n} + 1)^{n}(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)} - \frac{(\frac{-(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}})(\frac{1}{n} + 1)^{n}}{n} - \frac{-(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)n^{2}} - \frac{((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)n}\\=&(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1) - \frac{2(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( (\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1) - \frac{2(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{2}}\right)}{dn}\\=&((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln^{2}(\frac{1}{n} + 1) + \frac{(\frac{1}{n} + 1)^{n}*2ln(\frac{1}{n} + 1)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)} - \frac{2(\frac{-(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}})(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{n} - \frac{2*-(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n^{2}} - \frac{2((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{2(\frac{1}{n} + 1)^{n}(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)n(\frac{1}{n} + 1)} - \frac{(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}}{n^{3}} - \frac{-3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{4}} - \frac{((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}}{n^{2}} + \frac{-2(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{2}n^{2}}\\=&(\frac{1}{n} + 1)^{n}ln^{3}(\frac{1}{n} + 1) - \frac{3(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{2}} - \frac{2(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{4}} + \frac{3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{3}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( (\frac{1}{n} + 1)^{n}ln^{3}(\frac{1}{n} + 1) - \frac{3(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{2}} - \frac{2(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{4}} + \frac{3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{3}}\right)}{dn}\\=&((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln^{3}(\frac{1}{n} + 1) + \frac{(\frac{1}{n} + 1)^{n}*3ln^{2}(\frac{1}{n} + 1)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)} - \frac{3(\frac{-(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}})(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{n} - \frac{3*-(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n^{2}} - \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{3(\frac{1}{n} + 1)^{n}*2ln(\frac{1}{n} + 1)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)n(\frac{1}{n} + 1)} - \frac{3(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{n^{3}} - \frac{3*-3(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{4}} - \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} - \frac{3(\frac{1}{n} + 1)^{n}(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}n^{3}(\frac{1}{n} + 1)} + \frac{3(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{n^{2}} + \frac{3*-2(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{2}} + \frac{3(\frac{1}{n} + 1)^{n}(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{2}n^{2}(\frac{1}{n} + 1)} - \frac{2(\frac{-3(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{4}})(\frac{1}{n} + 1)^{n}}{n^{5}} - \frac{2*-5(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{6}} - \frac{2((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{3(\frac{-2(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{3}})(\frac{1}{n} + 1)^{n}}{n^{4}} + \frac{3*-4(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{5}} + \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{2}n^{4}} + \frac{3(\frac{-3(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{4}})(\frac{1}{n} + 1)^{n}}{n^{4}} + \frac{3*-4(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{3((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{(\frac{-3(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)^{4}})(\frac{1}{n} + 1)^{n}}{n^{3}} - \frac{-3(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{((\frac{1}{n} + 1)^{n}((1)ln(\frac{1}{n} + 1) + \frac{(n)(\frac{-1}{n^{2}} + 0)}{(\frac{1}{n} + 1)}))}{(\frac{1}{n} + 1)^{3}n^{3}}\\=&(\frac{1}{n} + 1)^{n}ln^{4}(\frac{1}{n} + 1) - \frac{4(\frac{1}{n} + 1)^{n}ln^{3}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)n} - \frac{6(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{3}} + \frac{6(\frac{1}{n} + 1)^{n}ln^{2}(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{2}} - \frac{8(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{3}n^{5}} + \frac{12(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{2}n^{4}} + \frac{12(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{3}n^{4}} - \frac{4(\frac{1}{n} + 1)^{n}ln(\frac{1}{n} + 1)}{(\frac{1}{n} + 1)^{3}n^{3}} - \frac{12(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{5}} - \frac{6(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{4}n^{7}} + \frac{16(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{3}n^{6}} + \frac{11(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{4}n^{6}} - \frac{12(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{2}n^{5}} - \frac{6(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{4}n^{5}} + \frac{(\frac{1}{n} + 1)^{n}}{(\frac{1}{n} + 1)^{4}n^{4}}\\ \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！
最 新 发 布
新增加身体健康评估计算器，位置：“数学运算 > 身体健康评估”。
新增加学习笔记(安卓版)百度网盘快速下载应用程序，欢迎使用。
新增加学习笔记(安卓版)本站下载应用程序，欢迎使用。
新增线性代数行列式的计算，欢迎使用。
数学计算和一元方程已经支持正割函数和余割函数，欢迎使用。
新增加贷款计算器模块（具体位置：数学运算 > 贷款计算器），欢迎使用。