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。\[ \begin{equation}\begin{split}【1/1】求函数sqart(\frac{{(5x - 453.846)}^{2}}{(6873.032 + 0.833{x}^{2} - 151.282x)}) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{25sqartx^{2}}{(0.833x - 151.282x + 6873.032)} - \frac{2269.23sqartx}{(0.833x - 151.282x + 6873.032)} - \frac{2269.23sqartx}{(0.833x - 151.282x + 6873.032)} + \frac{205976.191716sqart}{(0.833x - 151.282x + 6873.032)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{25sqartx^{2}}{(0.833x - 151.282x + 6873.032)} - \frac{2269.23sqartx}{(0.833x - 151.282x + 6873.032)} - \frac{2269.23sqartx}{(0.833x - 151.282x + 6873.032)} + \frac{205976.191716sqart}{(0.833x - 151.282x + 6873.032)}\right)}{dx}\\=&25(\frac{-(0.833 - 151.282 + 0)}{(0.833x - 151.282x + 6873.032)^{2}})sqartx^{2} + \frac{25sqart*2x}{(0.833x - 151.282x + 6873.032)} - 2269.23(\frac{-(0.833 - 151.282 + 0)}{(0.833x - 151.282x + 6873.032)^{2}})sqartx - \frac{2269.23sqart}{(0.833x - 151.282x + 6873.032)} - 2269.23(\frac{-(0.833 - 151.282 + 0)}{(0.833x - 151.282x + 6873.032)^{2}})sqartx - \frac{2269.23sqart}{(0.833x - 151.282x + 6873.032)} + 205976.191716(\frac{-(0.833 - 151.282 + 0)}{(0.833x - 151.282x + 6873.032)^{2}})sqart + 0\\=&\frac{3761.225sqartx^{2}}{(0.833x - 151.282x + 6873.032)(0.833x - 151.282x + 6873.032)} + \frac{50sqartx}{(0.833x - 151.282x + 6873.032)} - \frac{341403.38427sqartx}{(0.833x - 151.282x + 6873.032)(0.833x - 151.282x + 6873.032)} - \frac{2269.23sqart}{(0.833x - 151.282x + 6873.032)} - \frac{341403.38427sqartx}{(0.833x - 151.282x + 6873.032)(0.833x - 151.282x + 6873.032)} - \frac{2269.23sqart}{(0.833x - 151.282x + 6873.032)} + \frac{30988912.0674805sqart}{(0.833x - 151.282x + 6873.032)(0.833x - 151.282x + 6873.032)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!