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。\[ \begin{equation}\begin{split}【1/1】求函数ln(610.78e^{\frac{17.269(x - 273.16)}{(x - 35.86)}}) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = ln(610.78e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}})\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( ln(610.78e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}})\right)}{dx}\\=&\frac{610.78e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}}(17.269(\frac{-(1 + 0)}{(x - 35.86)^{2}})x + \frac{17.269}{(x - 35.86)} - 4717.20004(\frac{-(1 + 0)}{(x - 35.86)^{2}}))}{(610.78e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}})}\\=&\frac{-17.269xe^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}}}{(x - 35.86)(x - 35.86)e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}}} + \frac{17.269e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}}}{(x - 35.86)e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}}} + \frac{4717.20004e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}}}{(x - 35.86)(x - 35.86)e^{\frac{17.269x}{(x - 35.86)} - \frac{4717.20004}{(x - 35.86)}}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!