本次共计算 1 个题目:每一题对 x 求 4 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数sin(4)xcos(x) 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = xsin(4)cos(x)\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( xsin(4)cos(x)\right)}{dx}\\=&sin(4)cos(x) + xcos(4)*0cos(x) + xsin(4)*-sin(x)\\=&sin(4)cos(x) - xsin(x)sin(4)\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( sin(4)cos(x) - xsin(x)sin(4)\right)}{dx}\\=&cos(4)*0cos(x) + sin(4)*-sin(x) - sin(x)sin(4) - xcos(x)sin(4) - xsin(x)cos(4)*0\\=&-2sin(x)sin(4) - xsin(4)cos(x)\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( -2sin(x)sin(4) - xsin(4)cos(x)\right)}{dx}\\=&-2cos(x)sin(4) - 2sin(x)cos(4)*0 - sin(4)cos(x) - xcos(4)*0cos(x) - xsin(4)*-sin(x)\\=&-3sin(4)cos(x) + xsin(x)sin(4)\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( -3sin(4)cos(x) + xsin(x)sin(4)\right)}{dx}\\=&-3cos(4)*0cos(x) - 3sin(4)*-sin(x) + sin(x)sin(4) + xcos(x)sin(4) + xsin(x)cos(4)*0\\=&4sin(x)sin(4) + xsin(4)cos(x)\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!