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。
\[ \begin{equation}\begin{split}【1/1】求函数{cos({x}^{(3 + 2{x}^{2})})}^{2} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = cos^{2}({x}^{(2x^{2} + 3)})\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( cos^{2}({x}^{(2x^{2} + 3)})\right)}{dx}\\=&-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))\\=&-8x{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 4x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{6{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( -8x{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 4x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{6{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x}\right)}{dx}\\=&-8{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 8x({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{8x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 8x{x}^{(2x^{2} + 3)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 8x{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 4{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 4x({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 4x{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 4x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - \frac{6*-{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{6({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - \frac{6{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)})}{x} - \frac{6{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x}\\=&-56{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 36{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - 48{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) + 32x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 32x^{2}{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 48{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) - 8x^{2}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 8x^{2}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - 24{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - \frac{12{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} + 8x^{2}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) + 24{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) - \frac{18{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{2}} + \frac{18{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( -56{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 36{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - 48{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) + 32x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 32x^{2}{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 48{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) - 8x^{2}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 8x^{2}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - 24{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - \frac{12{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} + 8x^{2}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) + 24{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) - \frac{18{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{2}} + \frac{18{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{2}}\right)}{dx}\\=&-56({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{56{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 56{x}^{(2x^{2} + 3)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 56{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 32*2x{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 32x^{2}({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{32x^{2}{x}^{(2x^{2} + 3)}*2ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 32x^{2}{x}^{(2x^{2} + 3)}ln^{2}(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 32*2x{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 32x^{2}({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{32x^{2}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 32x^{2}{x}^{(2x^{2} + 3)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 32x^{2}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 36({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 36{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 36{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 32*2x{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 32x^{2}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{32x^{2}{x}^{(4x^{2} + 6)}*2ln(x)cos^{2}({x}^{(2x^{2} + 3)})}{(x)} - 32x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 32*2x{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - 32x^{2}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{32x^{2}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{(x)} - 32x^{2}{x}^{(4x^{2} + 6)}ln(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 48({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{48{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{(x)} - 48{x}^{(4x^{2} + 6)}ln(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 32*2x{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 32x^{2}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{32x^{2}{x}^{(4x^{2} + 6)}*2ln(x)sin^{2}({x}^{(2x^{2} + 3)})}{(x)} + 32x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 32*2x{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 32x^{2}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{32x^{2}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{(x)} + 32x^{2}{x}^{(4x^{2} + 6)}ln(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 48({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{48{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{(x)} + 48{x}^{(4x^{2} + 6)}ln(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 8*2x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 8x^{2}({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 8x^{2}{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 8x^{2}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 8*2x{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - 8x^{2}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))cos^{2}({x}^{(2x^{2} + 3)}) - 8x^{2}{x}^{(4x^{2} + 6)}*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 24({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))cos^{2}({x}^{(2x^{2} + 3)}) - 24{x}^{(4x^{2} + 6)}*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - \frac{12*-2{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{3}} - \frac{12({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{12{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{12{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x^{2}} + 8*2x{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) + 8x^{2}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin^{2}({x}^{(2x^{2} + 3)}) + 8x^{2}{x}^{(4x^{2} + 6)}*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 24({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin^{2}({x}^{(2x^{2} + 3)}) + 24{x}^{(4x^{2} + 6)}*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - \frac{18*-2{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{3}} - \frac{18({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))cos^{2}({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{18{x}^{(4x^{2} + 6)}*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x^{2}} + \frac{18*-2{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{3}} + \frac{18({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin^{2}({x}^{(2x^{2} + 3)})}{x^{2}} + \frac{18{x}^{(4x^{2} + 6)}*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x^{2}}\\=&-384x{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 480x{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{216{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - \frac{188{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - 960x{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 1056x{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{648{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)})}{x} + 1152x{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + \frac{864{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - 128x^{3}{x}^{(2x^{2} + 3)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 192x^{3}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 384x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 576x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 96x^{3}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 512x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 768x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 1152x{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 144x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 288x^{3}{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) + 384x^{3}{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 288x{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - \frac{396{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x} + \frac{432{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} + 384x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 576x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 960x{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 288x^{3}{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 1056x{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{648{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)})}{x} - \frac{12{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{3}} - 16x^{3}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 288x{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 64x^{3}{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 48x^{3}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) + \frac{216{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{3}} + \frac{396{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x} + 288x{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) - \frac{108{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{3}} + \frac{108{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{3}} + 48x^{3}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( -384x{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 480x{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{216{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - \frac{188{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - 960x{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 1056x{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{648{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)})}{x} + 1152x{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + \frac{864{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - 128x^{3}{x}^{(2x^{2} + 3)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 192x^{3}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 384x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 576x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 96x^{3}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 512x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 768x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 1152x{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 144x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 288x^{3}{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) + 384x^{3}{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 288x{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - \frac{396{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x} + \frac{432{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} + 384x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 576x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 960x{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 288x^{3}{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 1056x{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{648{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)})}{x} - \frac{12{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{3}} - 16x^{3}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 288x{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 64x^{3}{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 48x^{3}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) + \frac{216{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{3}} + \frac{396{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x} + 288x{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) - \frac{108{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{3}} + \frac{108{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{3}} + 48x^{3}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})\right)}{dx}\\=&-384{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 384x({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{384x{x}^{(2x^{2} + 3)}*2ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 384x{x}^{(2x^{2} + 3)}ln^{2}(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 384x{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 480{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 480x({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{480x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 480x{x}^{(2x^{2} + 3)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 480x{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - \frac{216*-{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{216({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - \frac{216{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x(x)} - \frac{216{x}^{(2x^{2} + 3)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)})}{x} - \frac{216{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x} - \frac{188*-{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{188({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} - \frac{188{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)})}{x} - \frac{188{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x} - 960{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 960x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{960x{x}^{(4x^{2} + 6)}*2ln(x)cos^{2}({x}^{(2x^{2} + 3)})}{(x)} - 960x{x}^{(4x^{2} + 6)}ln^{2}(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 1056{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - 1056x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{1056x{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{(x)} - 1056x{x}^{(4x^{2} + 6)}ln(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - \frac{648*-{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{648({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)cos^{2}({x}^{(2x^{2} + 3)})}{x} - \frac{648{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x(x)} - \frac{648{x}^{(4x^{2} + 6)}ln(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x} + 1152{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 1152x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + \frac{1152x{x}^{(4x^{2} + 6)}*2ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} + 1152x{x}^{(4x^{2} + 6)}ln^{2}(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) + 1152x{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + \frac{864*-{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} + \frac{864({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} + \frac{864{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x(x)} + \frac{864{x}^{(4x^{2} + 6)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)})}{x} + \frac{864{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x} - 128*3x^{2}{x}^{(2x^{2} + 3)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 128x^{3}({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{128x^{3}{x}^{(2x^{2} + 3)}*3ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 128x^{3}{x}^{(2x^{2} + 3)}ln^{3}(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 128x^{3}{x}^{(2x^{2} + 3)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 192*3x^{2}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 192x^{3}({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{192x^{3}{x}^{(2x^{2} + 3)}*2ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 192x^{3}{x}^{(2x^{2} + 3)}ln^{2}(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 192x^{3}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 384*3x^{2}{x}^{(4x^{2} + 6)}ln^{3}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 384x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{3}(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{384x^{3}{x}^{(4x^{2} + 6)}*3ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)})}{(x)} - 384x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 576*3x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 576x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{576x^{3}{x}^{(4x^{2} + 6)}*2ln(x)cos^{2}({x}^{(2x^{2} + 3)})}{(x)} - 576x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 96*3x^{2}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 96x^{3}({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{96x^{3}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} - 96x^{3}{x}^{(2x^{2} + 3)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 96x^{3}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 512*3x^{2}{x}^{(4x^{2} + 6)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 512x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + \frac{512x^{3}{x}^{(4x^{2} + 6)}*3ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} + 512x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) + 512x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 768*3x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 768x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + \frac{768x^{3}{x}^{(4x^{2} + 6)}*2ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} + 768x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) + 768x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 1152{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 1152x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + \frac{1152x{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} + 1152x{x}^{(4x^{2} + 6)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) + 1152x{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 144{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 144x({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 144x{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 144x{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 288*3x^{2}{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - 288x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - \frac{288x^{3}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{(x)} - 288x^{3}{x}^{(4x^{2} + 6)}ln(x)*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 384*3x^{2}{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 384x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + \frac{384x^{3}{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{(x)} + 384x^{3}{x}^{(4x^{2} + 6)}ln(x)cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) + 384x^{3}{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 288{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - 288x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))cos^{2}({x}^{(2x^{2} + 3)}) - 288x{x}^{(4x^{2} + 6)}*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - \frac{396*-{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{396({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))cos^{2}({x}^{(2x^{2} + 3)})}{x} - \frac{396{x}^{(4x^{2} + 6)}*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x} + \frac{432*-{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} + \frac{432({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x} + \frac{432{x}^{(4x^{2} + 6)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)})}{x} + \frac{432{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x} + 384*3x^{2}{x}^{(4x^{2} + 6)}ln^{3}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 384x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{3}(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{384x^{3}{x}^{(4x^{2} + 6)}*3ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)})}{(x)} + 384x^{3}{x}^{(4x^{2} + 6)}ln^{3}(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 576*3x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 576x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{576x^{3}{x}^{(4x^{2} + 6)}*2ln(x)sin^{2}({x}^{(2x^{2} + 3)})}{(x)} + 576x^{3}{x}^{(4x^{2} + 6)}ln^{2}(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 960{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 960x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{960x{x}^{(4x^{2} + 6)}*2ln(x)sin^{2}({x}^{(2x^{2} + 3)})}{(x)} + 960x{x}^{(4x^{2} + 6)}ln^{2}(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 288*3x^{2}{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 288x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{288x^{3}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{(x)} + 288x^{3}{x}^{(4x^{2} + 6)}ln(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 1056{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 1056x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{1056x{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{(x)} + 1056x{x}^{(4x^{2} + 6)}ln(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + \frac{648*-{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)})}{x^{2}} + \frac{648({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))ln(x)sin^{2}({x}^{(2x^{2} + 3)})}{x} + \frac{648{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x(x)} + \frac{648{x}^{(4x^{2} + 6)}ln(x)*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x} - \frac{12*-3{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{4}} - \frac{12({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{3}} - \frac{12{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)})}{x^{3}} - \frac{12{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x^{3}} - 16*3x^{2}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 16x^{3}({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 16x^{3}{x}^{(2x^{2} + 3)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) - 16x^{3}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 288{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 288x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 288x{x}^{(4x^{2} + 6)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) + 288x{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + 64*3x^{2}{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 64x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 64x^{3}{x}^{(4x^{2} + 6)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)}) + 64x^{3}{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - 48*3x^{2}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - 48x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))cos^{2}({x}^{(2x^{2} + 3)}) - 48x^{3}{x}^{(4x^{2} + 6)}*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) + \frac{216*-3{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{4}} + \frac{216({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{3}} + \frac{216{x}^{(4x^{2} + 6)}cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))cos({x}^{(2x^{2} + 3)})}{x^{3}} + \frac{216{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})*-sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x^{3}} + \frac{396*-{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{2}} + \frac{396({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin^{2}({x}^{(2x^{2} + 3)})}{x} + \frac{396{x}^{(4x^{2} + 6)}*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x} + 288{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) + 288x({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin^{2}({x}^{(2x^{2} + 3)}) + 288x{x}^{(4x^{2} + 6)}*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)})) - \frac{108*-3{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{4}} - \frac{108({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))cos^{2}({x}^{(2x^{2} + 3)})}{x^{3}} - \frac{108{x}^{(4x^{2} + 6)}*-2cos({x}^{(2x^{2} + 3)})sin({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x^{3}} + \frac{108*-3{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{4}} + \frac{108({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin^{2}({x}^{(2x^{2} + 3)})}{x^{3}} + \frac{108{x}^{(4x^{2} + 6)}*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))}{x^{3}} + 48*3x^{2}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) + 48x^{3}({x}^{(4x^{2} + 6)}((4*2x + 0)ln(x) + \frac{(4x^{2} + 6)(1)}{(x)}))sin^{2}({x}^{(2x^{2} + 3)}) + 48x^{3}{x}^{(4x^{2} + 6)}*2sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})({x}^{(2x^{2} + 3)}((2*2x + 0)ln(x) + \frac{(2x^{2} + 3)(1)}{(x)}))\\=&-2400{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 2304x^{2}{x}^{(2x^{2} + 3)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 4224x^{2}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 3872{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 6912x^{2}{x}^{(4x^{2} + 6)}ln^{3}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 12672x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 7008{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 2496x^{2}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{480{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} - 1432{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 7488x^{2}{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) - 10784{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) + 33792x^{2}{x}^{(4x^{2} + 6)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 53760x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 36864{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 28416x^{2}{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 41472{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - \frac{616{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} - \frac{1344{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)})}{x^{2}} + \frac{15552{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} - 3736{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - \frac{1920{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{2}} - 480x^{2}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 512x^{4}{x}^{(2x^{2} + 3)}ln^{4}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 1024x^{4}{x}^{(2x^{2} + 3)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 768x^{4}{x}^{(2x^{2} + 3)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 10240x^{4}{x}^{(4x^{2} + 6)}ln^{4}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 20480x^{4}{x}^{(4x^{2} + 6)}ln^{3}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 15360x^{4}{x}^{(4x^{2} + 6)}ln^{2}(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + \frac{9504{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{2}} - 256x^{4}{x}^{(2x^{2} + 3)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 1536x^{4}{x}^{(4x^{2} + 6)}ln^{4}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 3072x^{4}{x}^{(4x^{2} + 6)}ln^{3}(x)cos^{2}({x}^{(2x^{2} + 3)}) - 2304x^{4}{x}^{(4x^{2} + 6)}ln^{2}(x)cos^{2}({x}^{(2x^{2} + 3)}) + 5120x^{4}{x}^{(4x^{2} + 6)}ln(x)sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 6912x^{2}{x}^{(4x^{2} + 6)}ln^{3}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 12672x^{2}{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 7008{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 10784{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + \frac{1344{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)})}{x^{2}} - 768x^{4}{x}^{(4x^{2} + 6)}ln(x)cos^{2}({x}^{(2x^{2} + 3)}) + 2304x^{4}{x}^{(4x^{2} + 6)}ln^{2}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 768x^{4}{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 7488x^{2}{x}^{(4x^{2} + 6)}ln(x)sin^{2}({x}^{(2x^{2} + 3)}) + 1536x^{4}{x}^{(4x^{2} + 6)}ln^{4}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 3072x^{4}{x}^{(4x^{2} + 6)}ln^{3}(x)sin^{2}({x}^{(2x^{2} + 3)}) + 11520{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 4992x^{2}{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) - 1440x^{2}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) - 32x^{4}{x}^{(2x^{2} + 3)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 3736{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) + \frac{1944{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)})}{x^{4}} + 640x^{4}{x}^{(4x^{2} + 6)}sin({x}^{(2x^{2} + 3)})cos({x}^{(2x^{2} + 3)}) + 1440x^{2}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) + \frac{288{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)})}{x^{4}} - 96x^{4}{x}^{(4x^{2} + 6)}cos^{2}({x}^{(2x^{2} + 3)}) + \frac{1920{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{2}} + 96x^{4}{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)}) - \frac{288{x}^{(4x^{2} + 6)}sin^{2}({x}^{(2x^{2} + 3)})}{x^{4}}\\ \end{split}\end{equation} \]

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