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 x 求 2 阶导数。
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sqrt(6368.04 - {(\frac{(25637.017706 + 10154.2cos(5.13126x))}{sqrt(36129.9937 + 24740.814cos(5.13126x))} - 133.167)}^{2}) 关于 x 的 2 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sqrt(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sqrt(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)\right)}{dx}\\=&\frac{(\frac{-25637.017706*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{10154.2*-sin(5.13126x)*5.13126}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + 0)*0.5}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\\=& - \frac{322272855.337519sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{26051.920146sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{813664778.953651sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( - \frac{322272855.337519sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{26051.920146sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{813664778.953651sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\right)}{dx}\\=& - \frac{322272855.337519(\frac{-(24740.814*-sin(5.13126x)*5.13126 + 0)}{(24740.814cos(5.13126x) + 36129.9937)^{2}})sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{322272855.337519(\frac{-0.5(24740.814*-sin(5.13126x)*5.13126 + 0)}{(24740.814cos(5.13126x) + 36129.9937)^{\frac{3}{2}}})sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{322272855.337519(\frac{-0.5(\frac{-25637.017706*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{10154.2*-sin(5.13126x)*5.13126}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + 0)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}})sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{322272855.337519cos(5.13126x)*5.13126cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{322272855.337519sin(5.13126x)*-sin(5.13126x)*5.13126}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{26051.920146(\frac{-0.5(\frac{-25637.017706*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{10154.2*-sin(5.13126x)*5.13126}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + 0)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}})sin(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{26051.920146cos(5.13126x)*5.13126}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{26051.920146sin(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{813664778.953651(\frac{-(24740.814*-sin(5.13126x)*5.13126 + 0)}{(24740.814cos(5.13126x) + 36129.9937)^{2}})sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{813664778.953651(\frac{-0.5(24740.814*-sin(5.13126x)*5.13126 + 0)}{(24740.814cos(5.13126x) + 36129.9937)^{\frac{3}{2}}})sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{813664778.953651(\frac{-0.5(\frac{-25637.017706*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{10154.2*-sin(5.13126x)*5.13126}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + 0)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}})sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{813664778.953651cos(5.13126x)*5.13126}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\\=& - \frac{40913038264914.1sin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{8395826692476.47sin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{%.0-3lfsin(5.13126x)sin(5.13126x)cos(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + \frac{8395826692476.47sin(5.13126x)sin(5.13126x)cos(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{%.0-3lfsin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{1653665811.6792cos(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{20456519132457.1sin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{3}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{21197529846913.3sin(5.13126x)sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{678702543.293561sin(5.13126x)sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{21197529846913.3sin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{133679.175768364cos(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{1653665811.6792sin(5.13126x)sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{103296004254777sin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{51648002127388.6sin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{3}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{%.0-3lfsin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + \frac{1653665811.6792sin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{%.0-3lfsin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{4175125533.65371cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]
注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sqrt(6368.04 - {(\frac{(25637.017706 + 10154.2cos(5.13126x))}{sqrt(36129.9937 + 24740.814cos(5.13126x))} - 133.167)}^{2}) 关于 x 的 2 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sqrt(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sqrt(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)\right)}{dx}\\=&\frac{(\frac{-25637.017706*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{10154.2*-sin(5.13126x)*5.13126}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + 0)*0.5}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\\=& - \frac{322272855.337519sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{26051.920146sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{813664778.953651sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( - \frac{322272855.337519sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{26051.920146sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{813664778.953651sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\right)}{dx}\\=& - \frac{322272855.337519(\frac{-(24740.814*-sin(5.13126x)*5.13126 + 0)}{(24740.814cos(5.13126x) + 36129.9937)^{2}})sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{322272855.337519(\frac{-0.5(24740.814*-sin(5.13126x)*5.13126 + 0)}{(24740.814cos(5.13126x) + 36129.9937)^{\frac{3}{2}}})sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{322272855.337519(\frac{-0.5(\frac{-25637.017706*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{10154.2*-sin(5.13126x)*5.13126}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + 0)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}})sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{322272855.337519cos(5.13126x)*5.13126cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{322272855.337519sin(5.13126x)*-sin(5.13126x)*5.13126}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{26051.920146(\frac{-0.5(\frac{-25637.017706*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{10154.2*-sin(5.13126x)*5.13126}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + 0)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}})sin(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{26051.920146cos(5.13126x)*5.13126}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{26051.920146sin(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{813664778.953651(\frac{-(24740.814*-sin(5.13126x)*5.13126 + 0)}{(24740.814cos(5.13126x) + 36129.9937)^{2}})sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{813664778.953651(\frac{-0.5(24740.814*-sin(5.13126x)*5.13126 + 0)}{(24740.814cos(5.13126x) + 36129.9937)^{\frac{3}{2}}})sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{813664778.953651(\frac{-0.5(\frac{-25637.017706*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{10154.2*-sin(5.13126x)*5.13126}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)*-(24740.814*-sin(5.13126x)*5.13126 + 0)*0.5}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + 0)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}})sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{813664778.953651cos(5.13126x)*5.13126}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\\=& - \frac{40913038264914.1sin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{8395826692476.47sin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{%.0-3lfsin(5.13126x)sin(5.13126x)cos(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + \frac{8395826692476.47sin(5.13126x)sin(5.13126x)cos(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{%.0-3lfsin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{1653665811.6792cos(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{20456519132457.1sin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{3}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} + \frac{21197529846913.3sin(5.13126x)sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{678702543.293561sin(5.13126x)sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{21197529846913.3sin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{133679.175768364cos(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}sqrt(24740.814cos(5.13126x) + 36129.9937)} + \frac{1653665811.6792sin(5.13126x)sin(5.13126x)}{(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{103296004254777sin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{51648002127388.6sin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{3}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{%.0-3lfsin(5.13126x)sin(5.13126x)cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} + \frac{1653665811.6792sin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}} - \frac{%.0-3lfsin(5.13126x)sin(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{3}{2}}(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}} - \frac{4175125533.65371cos(5.13126x)}{(24740.814cos(5.13126x) + 36129.9937)(24740.814cos(5.13126x) + 36129.9937)^{\frac{1}{2}}(\frac{-25637.017706}{sqrt(24740.814cos(5.13126x) + 36129.9937)} - \frac{10154.2cos(5.13126x)}{sqrt(24740.814cos(5.13126x) + 36129.9937)} + 6501.207)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]
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