本次共计算 1 个题目：每一题对 x 求 15 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数e^{x}se^{i}n(xx)cos(xx) 关于 x 的 15 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = snx^{2}e^{i}e^{x}cos(x^{2})\\\\ &\color{blue}{函数的 15 阶导数：} \\=&-595450590sne^{x}e^{i}cos(x^{2}) - 761819880snxe^{x}e^{i}sin(x^{2}) - 1576786680sne^{x}e^{i}sin(x^{2}) - 492243840snxe^{i}e^{x}sin(x^{2}) - 9735770568snx^{2}e^{i}e^{x}cos(x^{2}) - 196217280sne^{i}e^{x}sin(x^{2}) - 4902512640snxe^{i}e^{x}cos(x^{2}) - 15550903571snx^{2}e^{x}e^{i}cos(x^{2}) + 17445707760snx^{3}e^{i}e^{x}sin(x^{2}) - 7055313210snxe^{x}e^{i}cos(x^{2}) - 768511800sne^{i}e^{x}cos(x^{2}) + 11296913160snx^{2}e^{i}e^{x}sin(x^{2}) + 39918679290snx^{3}e^{x}e^{i}sin(x^{2}) + 31845448676snx^{4}e^{x}e^{i}cos(x^{2}) + 12497536470snx^{2}e^{x}e^{i}sin(x^{2}) - 13701574752snx^{3}e^{x}e^{i}cos(x^{2}) + 27802539304snx^{4}e^{i}e^{x}cos(x^{2}) + 17322073136snx^{5}e^{x}e^{i}sin(x^{2}) + 14036693172snx^{3}e^{i}e^{x}cos(x^{2}) + 38497201056snx^{4}e^{x}e^{i}sin(x^{2}) - 26476654936snx^{5}e^{i}e^{x}sin(x^{2}) + 16223913472snx^{6}e^{i}e^{x}cos(x^{2}) + 12962359824snx^{4}e^{i}e^{x}sin(x^{2}) + 33674802160snx^{5}e^{i}e^{x}cos(x^{2}) + 18641659088snx^{6}e^{x}e^{i}cos(x^{2}) - 12784531936snx^{7}e^{i}e^{x}sin(x^{2}) + 36875998160snx^{5}e^{x}e^{i}cos(x^{2}) - 20603889120snx^{6}e^{i}e^{x}sin(x^{2}) - 21544899200snx^{7}e^{x}e^{i}sin(x^{2}) - 8755520832snx^{8}e^{x}e^{i}cos(x^{2}) - 30012276480snx^{6}e^{x}e^{i}sin(x^{2}) - 13412669952snx^{7}e^{x}e^{i}cos(x^{2}) - 10202618368snx^{8}e^{i}e^{x}cos(x^{2}) + 4060396032snx^{9}e^{x}e^{i}sin(x^{2}) + 3919346112snx^{7}e^{i}e^{x}cos(x^{2}) - 6729252864snx^{8}e^{x}e^{i}sin(x^{2}) - 446362752snx^{9}e^{i}e^{x}sin(x^{2}) - 663154688snx^{10}e^{i}e^{x}cos(x^{2}) - 3382242816snx^{8}e^{i}e^{x}sin(x^{2}) - 3849101568snx^{9}e^{i}e^{x}cos(x^{2}) - 703604992snx^{10}e^{x}e^{i}cos(x^{2}) + 355363328snx^{11}e^{i}e^{x}sin(x^{2}) - 3923142912snx^{9}e^{x}e^{i}cos(x^{2}) + 1712770560snx^{10}e^{i}e^{x}sin(x^{2}) + 505889792snx^{11}e^{x}e^{i}sin(x^{2}) + 174715904snx^{12}e^{x}e^{i}cos(x^{2}) + 1785123840snx^{10}e^{x}e^{i}sin(x^{2}) + 692208640snx^{11}e^{i}e^{x}cos(x^{2}) + 152080384snx^{12}e^{i}e^{x}cos(x^{2}) - 56645632snx^{13}e^{i}e^{x}sin(x^{2}) - 56227840snx^{11}e^{x}e^{i}cos(x^{2}) + 31715328snx^{12}e^{i}e^{x}sin(x^{2}) + 52150272snx^{12}e^{x}e^{i}sin(x^{2}) + 22622208snx^{13}e^{x}e^{i}cos(x^{2}) + 22106112snx^{13}e^{i}e^{x}cos(x^{2}) - 8355840snx^{14}e^{x}e^{i}sin(x^{2}) - 6266880snx^{14}e^{i}e^{x}sin(x^{2}) - 2211840snx^{15}e^{x}e^{i}cos(x^{2}) + 1810432snx^{13}e^{x}e^{i}sin(x^{2}) + 946176snx^{14}e^{x}e^{i}cos(x^{2}) + 917504snx^{14}e^{i}e^{x}cos(x^{2}) - 491520snx^{15}e^{x}e^{i}sin(x^{2}) - 368640snx^{15}e^{i}e^{x}sin(x^{2}) - 131072snx^{16}e^{i}e^{x}cos(x^{2}) - 114688snx^{16}e^{x}e^{i}cos(x^{2}) + 32768snx^{17}e^{x}e^{i}sin(x^{2})\\ \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！