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。\[ \begin{equation}\begin{split}【1/1】求函数8sin(x) - 8cos(x) + xcos(x) + xsin(x) 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( 8sin(x) - 8cos(x) + xcos(x) + xsin(x)\right)}{dx}\\=&8cos(x) - 8*-sin(x) + cos(x) + x*-sin(x) + sin(x) + xcos(x)\\=&9cos(x) + 9sin(x) - xsin(x) + xcos(x)\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( 9cos(x) + 9sin(x) - xsin(x) + xcos(x)\right)}{dx}\\=&9*-sin(x) + 9cos(x) - sin(x) - xcos(x) + cos(x) + x*-sin(x)\\=&-10sin(x) + 10cos(x) - xcos(x) - xsin(x)\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( -10sin(x) + 10cos(x) - xcos(x) - xsin(x)\right)}{dx}\\=&-10cos(x) + 10*-sin(x) - cos(x) - x*-sin(x) - sin(x) - xcos(x)\\=&-11cos(x) - 11sin(x) + xsin(x) - xcos(x)\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( -11cos(x) - 11sin(x) + xsin(x) - xcos(x)\right)}{dx}\\=&-11*-sin(x) - 11cos(x) + sin(x) + xcos(x) - cos(x) - x*-sin(x)\\=&12sin(x) - 12cos(x) + xcos(x) + xsin(x)\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!