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。
\[ \begin{equation}\begin{split}【1/1】求函数cos((2x - 3)sin(2x + 5)) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( cos(2xsin(2x + 5) - 3sin(2x + 5))\right)}{dx}\\=&-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))\\=&-2sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5) - 4xsin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 6sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5)\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( -2sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5) - 4xsin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 6sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5)\right)}{dx}\\=&-2cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))sin(2x + 5) - 2sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5)(2 + 0) - 4sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 4xcos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) - 4xsin(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0) + 6cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) + 6sin(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0)\\=&24sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 16xsin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 4sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 8sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 16x^{2}cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48xcos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 8xsin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5)) - 36cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 12sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( 24sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 16xsin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 4sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 8sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 16x^{2}cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48xcos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 8xsin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5)) - 36cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 12sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))\right)}{dx}\\=&24cos(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 24sin(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) + 24sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0) - 16sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 16xcos(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 16xsin(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) - 16xsin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0) - 4*2sin(2x + 5)cos(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 4sin^{2}(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) - 8cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) - 8sin(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0) - 16*2xcos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 16x^{2}*-2cos(2x + 5)sin(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 16x^{2}cos^{2}(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) + 48cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48x*-2cos(2x + 5)sin(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48xcos^{2}(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) + 8sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5)) + 8xcos(2x + 5)(2 + 0)sin(2xsin(2x + 5) - 3sin(2x + 5)) + 8xsin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) - 36*-2cos(2x + 5)sin(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 36cos^{2}(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) - 12cos(2x + 5)(2 + 0)sin(2xsin(2x + 5) - 3sin(2x + 5)) - 12sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))\\=&144cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 48sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)cos(2x + 5) - 192xsin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) + 144sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) - 32sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 200sin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 96xcos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48xsin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)cos(2x + 5) + 96x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) - 96xsin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) + 96x^{2}sin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 72sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 24sin^{2}(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 72sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) + 8sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{3}(2x + 5) - 288xsin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 64x^{3}sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) - 288x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 48xsin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 432xsin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 24sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5)) + 16xsin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 216sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) - 24sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5)\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( 144cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 48sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)cos(2x + 5) - 192xsin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) + 144sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) - 32sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 200sin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 96xcos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48xsin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)cos(2x + 5) + 96x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) - 96xsin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) + 96x^{2}sin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 72sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 24sin^{2}(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 72sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) + 8sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{3}(2x + 5) - 288xsin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 64x^{3}sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) - 288x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 48xsin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 432xsin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 24sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5)) + 16xsin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 216sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) - 24sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5)\right)}{dx}\\=&144*-2cos(2x + 5)sin(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 144cos^{2}(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) - 48cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))sin^{2}(2x + 5)cos(2x + 5) - 48sin(2xsin(2x + 5) - 3sin(2x + 5))*2sin(2x + 5)cos(2x + 5)(2 + 0)cos(2x + 5) - 48sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)*-sin(2x + 5)(2 + 0) - 192sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) - 192xcos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))sin(2x + 5)cos^{2}(2x + 5) - 192xsin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5)(2 + 0)cos^{2}(2x + 5) - 192xsin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)*-2cos(2x + 5)sin(2x + 5)(2 + 0) + 144cos(2x + 5)(2 + 0)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) + 144sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos^{2}(2x + 5) + 144sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))*-2cos(2x + 5)sin(2x + 5)(2 + 0) - 32cos(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 32sin(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) - 32sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0) + 200cos(2x + 5)(2 + 0)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 200sin(2x + 5)*-sin(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 200sin(2x + 5)cos(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) - 96cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 96x*-2cos(2x + 5)sin(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 96xcos^{2}(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) + 48sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)cos(2x + 5) + 48xcos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))sin^{2}(2x + 5)cos(2x + 5) + 48xsin(2xsin(2x + 5) - 3sin(2x + 5))*2sin(2x + 5)cos(2x + 5)(2 + 0)cos(2x + 5) + 48xsin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)*-sin(2x + 5)(2 + 0) + 96*2xsin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) + 96x^{2}cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))sin(2x + 5)cos^{2}(2x + 5) + 96x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5)(2 + 0)cos^{2}(2x + 5) + 96x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)*-2cos(2x + 5)sin(2x + 5)(2 + 0) - 96sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) - 96xcos(2x + 5)(2 + 0)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) - 96xsin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos^{2}(2x + 5) - 96xsin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))*-2cos(2x + 5)sin(2x + 5)(2 + 0) + 96*2xsin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 96x^{2}cos(2x + 5)(2 + 0)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 96x^{2}sin(2x + 5)*-sin(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 96x^{2}sin(2x + 5)cos(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) - 72*2sin(2x + 5)cos(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 72sin^{2}(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) - 24*2sin(2x + 5)cos(2x + 5)(2 + 0)sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 24sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) - 24sin^{2}(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0) + 72cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))sin(2x + 5)cos^{2}(2x + 5) + 72sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5)(2 + 0)cos^{2}(2x + 5) + 72sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)*-2cos(2x + 5)sin(2x + 5)(2 + 0) + 8cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))sin^{3}(2x + 5) + 8sin(2xsin(2x + 5) - 3sin(2x + 5))*3sin^{2}(2x + 5)cos(2x + 5)(2 + 0) - 288sin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 288xcos(2x + 5)(2 + 0)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 288xsin(2x + 5)*-sin(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 288xsin(2x + 5)cos(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) + 64*3x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 64x^{3}cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos^{3}(2x + 5) + 64x^{3}sin(2xsin(2x + 5) - 3sin(2x + 5))*-3cos^{2}(2x + 5)sin(2x + 5)(2 + 0) - 288*2xsin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) - 288x^{2}cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos^{3}(2x + 5) - 288x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))*-3cos^{2}(2x + 5)sin(2x + 5)(2 + 0) + 48sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48x*2sin(2x + 5)cos(2x + 5)(2 + 0)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48xsin^{2}(2x + 5)*-sin(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) + 432sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 432xcos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos^{3}(2x + 5) + 432xsin(2xsin(2x + 5) - 3sin(2x + 5))*-3cos^{2}(2x + 5)sin(2x + 5)(2 + 0) + 24cos(2x + 5)(2 + 0)sin(2xsin(2x + 5) - 3sin(2x + 5)) + 24sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0)) + 16sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 16xcos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) + 16xsin(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0) - 216cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos^{3}(2x + 5) - 216sin(2xsin(2x + 5) - 3sin(2x + 5))*-3cos^{2}(2x + 5)sin(2x + 5)(2 + 0) - 24cos(2xsin(2x + 5) - 3sin(2x + 5))(2sin(2x + 5) + 2xcos(2x + 5)(2 + 0) - 3cos(2x + 5)(2 + 0))cos(2x + 5) - 24sin(2xsin(2x + 5) - 3sin(2x + 5))*-sin(2x + 5)(2 + 0)\\=&720sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) + 1920sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) - 1056xsin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) - 192sin^{3}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 864sin(2x + 5)cos^{3}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 1920x^{2}sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 144sin^{2}(2x + 5)cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 960sin^{2}(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 480sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) + 2304xsin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 1152xsin(2x + 5)cos^{3}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 1632xsin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)cos(2x + 5) + 128xsin^{3}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 864sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) - 576sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)cos(2x + 5) + 384cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 288xsin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) - 1296sin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 4128xsin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) + 384x^{2}sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) + 512x^{3}sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) - 384x^{2}sin(2x + 5)cos^{3}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 768x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{2}(2x + 5)cos(2x + 5) - 96xsin^{2}(2x + 5)cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 672xsin^{2}(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 864xsin(2x + 5)cos(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 32xsin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 768x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 256x^{2}cos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 192x^{2}sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 384x^{3}sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) + 2304x^{2}sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) - 48sin(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) + 240sin(2xsin(2x + 5) - 3sin(2x + 5))sin^{3}(2x + 5) - 240sin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48sin^{3}(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5)) + 16sin^{4}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 768xcos^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 576xsin^{2}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 1152x^{2}sin(2xsin(2x + 5) - 3sin(2x + 5))sin(2x + 5)cos^{2}(2x + 5) - 384x^{3}sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{2}(2x + 5) + 256x^{4}cos^{4}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 1536x^{3}cos^{4}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 192xsin(2xsin(2x + 5) - 3sin(2x + 5))sin^{3}(2x + 5) - 2304xsin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 3456x^{2}cos^{4}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) - 3456xcos^{4}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 64sin(2xsin(2x + 5) - 3sin(2x + 5))cos(2x + 5) - 32xsin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5)) + 1728sin(2xsin(2x + 5) - 3sin(2x + 5))cos^{3}(2x + 5) + 1296cos^{4}(2x + 5)cos(2xsin(2x + 5) - 3sin(2x + 5)) + 48sin(2x + 5)sin(2xsin(2x + 5) - 3sin(2x + 5))\\ \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！