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。\[ \begin{equation}\begin{split}【1/1】求函数2.9547ln(x) - 0.3426{(ln(x))}^{2} + 0.0148{(ln(x))}^{3} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = 0.0148ln(x)ln(x)ln(x) - 0.3426ln(x)ln(x) + 2.9547ln(x)\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( 0.0148ln(x)ln(x)ln(x) - 0.3426ln(x)ln(x) + 2.9547ln(x)\right)}{dx}\\=&\frac{0.0148ln(x)ln(x)}{(x)} + \frac{0.0148ln(x)ln(x)}{(x)} + \frac{0.0148ln(x)ln(x)}{(x)} - \frac{0.3426ln(x)}{(x)} - \frac{0.3426ln(x)}{(x)} + \frac{2.9547}{(x)}\\=&\frac{0.0148ln(x)ln(x)}{x} + \frac{0.0148ln(x)ln(x)}{x} + \frac{0.0148ln(x)ln(x)}{x} - \frac{0.3426ln(x)}{x} - \frac{0.3426ln(x)}{x} + \frac{2.9547}{x}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!