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