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。\[ \begin{equation}\begin{split}【1/1】求函数\frac{((x + 15)*0.0045 + 1.05)}{(x*0.0045 + 1.05)} - 1 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{0.0045x}{(0.0045x + 1.05)} + \frac{0.0675}{(0.0045x + 1.05)} + \frac{1.05}{(0.0045x + 1.05)} - 1\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{0.0045x}{(0.0045x + 1.05)} + \frac{0.0675}{(0.0045x + 1.05)} + \frac{1.05}{(0.0045x + 1.05)} - 1\right)}{dx}\\=&0.0045(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}})x + \frac{0.0045}{(0.0045x + 1.05)} + 0.0675(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}}) + 1.05(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}}) + 0\\=&\frac{-0.00002025x}{(0.0045x + 1.05)(0.0045x + 1.05)} - \frac{0.00030375}{(0.0045x + 1.05)(0.0045x + 1.05)} - \frac{0.004725}{(0.0045x + 1.05)(0.0045x + 1.05)} + \frac{0.0045}{(0.0045x + 1.05)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!