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数学
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矩阵相乘
求逆矩阵
求导函数
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热门问题
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。
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求导函数
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导函数计算历史
> 答案
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X + 0.73 - arctan(\frac{(0.5sin(0.5x)sin(0.54*3.14 - 0.5x) + 0.71(0.15 - 0.125x))}{((0.5sin(0.5x)cos(0.54*3.14 - 0.5x) + 0.71(0.15 - 0.125x)))}) 关于 x 的 1 阶导数:\\\end{split}\end{equation}
\begin{equation}\begin{split}\\解:&\\ &原函数 = X - arctan(\frac{0.5sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.08875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.1065}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)}) + 0.73\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( X - arctan(\frac{0.5sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.08875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.1065}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)}) + 0.73\right)}{dx}\\=&0 - (\frac{(0.5(\frac{-(0.5cos(0.5x)*0.5cos(-0.5x + 1.6956) + 0.5sin(0.5x)*-sin(-0.5x + 1.6956)(-0.5 + 0) - 0.08875 + 0)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)^{2}})sin(-0.5x + 1.6956)sin(0.5x) + \frac{0.5cos(-0.5x + 1.6956)(-0.5 + 0)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.5sin(-0.5x + 1.6956)cos(0.5x)*0.5}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - 0.08875(\frac{-(0.5cos(0.5x)*0.5cos(-0.5x + 1.6956) + 0.5sin(0.5x)*-sin(-0.5x + 1.6956)(-0.5 + 0) - 0.08875 + 0)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)^{2}})x - \frac{0.08875}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 0.1065(\frac{-(0.5cos(0.5x)*0.5cos(-0.5x + 1.6956) + 0.5sin(0.5x)*-sin(-0.5x + 1.6956)(-0.5 + 0) - 0.08875 + 0)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)^{2}}))}{(1 + (\frac{0.5sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.08875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.1065}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)})^{2})}) + 0\\=& - \frac{-0.125sin(0.5x)sin(-0.5x + 1.6956)cos(-0.5x + 1.6956)cos(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.125sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.044375sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.25sin(0.5x)cos(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.25sin(-0.5x + 1.6956)cos(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.0221875xcos(0.5x)cos(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.0221875xsin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.0078765625x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.026625cos(-0.5x + 1.6956)cos(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.026625sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.009451875}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.08875}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)}\\ \end{split}\end{equation}
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