数学
         
语言:中文    Language:English
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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    本次共计算 1 个题目:每一题对 x 求 4 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数(1 - (x + 0.05)) + {(x + 0.05)}^{(1.5 + y)} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = - x + (x + 0.05)^{(y + 1.5)} + 0.95\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( - x + (x + 0.05)^{(y + 1.5)} + 0.95\right)}{dx}\\=& - 1 + ((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)})) + 0\\=&\frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - 1\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - 1\right)}{dx}\\=&(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)} + \frac{y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)} + 1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)} + \frac{1.5((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)} + 0\\=&\frac{-y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( \frac{-y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)}\right)}{dx}\\=&\frac{-(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - \frac{y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - \frac{1.5((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{2.25((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)}\\=&\frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)}\right)}{dx}\\=&\frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y^{3}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{3.375(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{3.375(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{3.375((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)}\\=&\frac{-y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{4}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{5.0625(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)}\\ \end{split}\end{equation} \]



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