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。\[ \begin{equation}\begin{split}【1/1】求函数\frac{(0.03x + 3)}{(0.00000146{x}^{2} - 0.00349x + 4.13)} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{0.03x}{(0.00000146x - 0.00349x + 4.13)} + \frac{3}{(0.00000146x - 0.00349x + 4.13)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{0.03x}{(0.00000146x - 0.00349x + 4.13)} + \frac{3}{(0.00000146x - 0.00349x + 4.13)}\right)}{dx}\\=&0.03(\frac{-(0.00000146 - 0.00349 + 0)}{(0.00000146x - 0.00349x + 4.13)^{2}})x + \frac{0.03}{(0.00000146x - 0.00349x + 4.13)} + 3(\frac{-(0.00000146 - 0.00349 + 0)}{(0.00000146x - 0.00349x + 4.13)^{2}})\\=&\frac{0.0001046562x}{(0.00000146x - 0.00349x + 4.13)(0.00000146x - 0.00349x + 4.13)} + \frac{0.01046562}{(0.00000146x - 0.00349x + 4.13)(0.00000146x - 0.00349x + 4.13)} + \frac{0.03}{(0.00000146x - 0.00349x + 4.13)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!