本次共计算 1 个题目:每一题对 x 求 2 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数0.973{e}^{(\frac{-10.083}{(x - 3.519)})} 关于 x 的 2 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( 0.973{e}^{(\frac{-10.083}{(x - 3.519)})}\right)}{dx}\\=&0.973({e}^{(\frac{-10.083}{(x - 3.519)})}((-10.083(\frac{-(1 + 0)}{(x - 3.519)^{2}}))ln(e) + \frac{(\frac{-10.083}{(x - 3.519)})(0)}{(e)}))\\=&\frac{9.810759{e}^{(\frac{-10.083}{(x - 3.519)})}}{(x - 3.519)(x - 3.519)}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{9.810759{e}^{(\frac{-10.083}{(x - 3.519)})}}{(x - 3.519)(x - 3.519)}\right)}{dx}\\=&\frac{9.810759(\frac{-(1 + 0)}{(x - 3.519)^{2}}){e}^{(\frac{-10.083}{(x - 3.519)})}}{(x - 3.519)} + \frac{9.810759(\frac{-(1 + 0)}{(x - 3.519)^{2}}){e}^{(\frac{-10.083}{(x - 3.519)})}}{(x - 3.519)} + \frac{9.810759({e}^{(\frac{-10.083}{(x - 3.519)})}((-10.083(\frac{-(1 + 0)}{(x - 3.519)^{2}}))ln(e) + \frac{(\frac{-10.083}{(x - 3.519)})(0)}{(e)}))}{(x - 3.519)(x - 3.519)}\\=&\frac{-9.810759{e}^{(\frac{-10.083}{(x - 3.519)})}}{(x - 3.519)(x - 3.519)(x - 3.519)} - \frac{9.810759{e}^{(\frac{-10.083}{(x - 3.519)})}}{(x - 3.519)(x - 3.519)(x - 3.519)} + \frac{98.921882997{e}^{(\frac{-10.083}{(x - 3.519)})}}{(x - 3.519)(x - 3.519)(x - 3.519)(x - 3.519)}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!