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。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{((x + 15)*0.0045 + 1.05)}{(x*0.0045 + 1.05)} - 1 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{0.0045x}{(0.0045x + 1.05)} + \frac{0.0675}{(0.0045x + 1.05)} + \frac{1.05}{(0.0045x + 1.05)} - 1\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{0.0045x}{(0.0045x + 1.05)} + \frac{0.0675}{(0.0045x + 1.05)} + \frac{1.05}{(0.0045x + 1.05)} - 1\right)}{dx}\\=&0.0045(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}})x + \frac{0.0045}{(0.0045x + 1.05)} + 0.0675(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}}) + 1.05(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}}) + 0\\=&\frac{-0.00002025x}{(0.0045x + 1.05)(0.0045x + 1.05)} - \frac{0.00030375}{(0.0045x + 1.05)(0.0045x + 1.05)} - \frac{0.004725}{(0.0045x + 1.05)(0.0045x + 1.05)} + \frac{0.0045}{(0.0045x + 1.05)}\\ \end{split}\end{equation} \]

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