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。\[ \begin{equation}\begin{split}【1/1】求函数18sin(x) + 9xcos(x) - 4ccos(x) - 4csin(x) - 2cxcos(x) 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( 18sin(x) + 9xcos(x) - 4ccos(x) - 4csin(x) - 2cxcos(x)\right)}{dx}\\=&18cos(x) + 9cos(x) + 9x*-sin(x) - 4c*-sin(x) - 4ccos(x) - 2ccos(x) - 2cx*-sin(x)\\=&27cos(x) - 9xsin(x) + 4csin(x) - 6ccos(x) + 2cxsin(x)\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( 27cos(x) - 9xsin(x) + 4csin(x) - 6ccos(x) + 2cxsin(x)\right)}{dx}\\=&27*-sin(x) - 9sin(x) - 9xcos(x) + 4ccos(x) - 6c*-sin(x) + 2csin(x) + 2cxcos(x)\\=&-36sin(x) - 9xcos(x) + 4ccos(x) + 8csin(x) + 2cxcos(x)\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( -36sin(x) - 9xcos(x) + 4ccos(x) + 8csin(x) + 2cxcos(x)\right)}{dx}\\=&-36cos(x) - 9cos(x) - 9x*-sin(x) + 4c*-sin(x) + 8ccos(x) + 2ccos(x) + 2cx*-sin(x)\\=&-45cos(x) + 9xsin(x) - 4csin(x) + 10ccos(x) - 2cxsin(x)\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( -45cos(x) + 9xsin(x) - 4csin(x) + 10ccos(x) - 2cxsin(x)\right)}{dx}\\=&-45*-sin(x) + 9sin(x) + 9xcos(x) - 4ccos(x) + 10c*-sin(x) - 2csin(x) - 2cxcos(x)\\=&54sin(x) + 9xcos(x) - 4ccos(x) - 12csin(x) - 2cxcos(x)\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!