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。\[ \begin{equation}\begin{split}【1/1】求函数ln(4{x}^{3}{(-16 + 4x)}^{5}) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = ln(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( ln(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})\right)}{dx}\\=&\frac{(4096*8x^{7} - 81920*7x^{6} + 655360*6x^{5} - 2621440*5x^{4} + 5242880*4x^{3} - 4194304*3x^{2})}{(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})}\\=&\frac{32768x^{7}}{(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})} - \frac{573440x^{6}}{(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})} + \frac{3932160x^{5}}{(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})} - \frac{13107200x^{4}}{(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})} + \frac{20971520x^{3}}{(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})} - \frac{12582912x^{2}}{(4096x^{8} - 81920x^{7} + 655360x^{6} - 2621440x^{5} + 5242880x^{4} - 4194304x^{3})}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!