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。
\[ \begin{equation}\begin{split}【1/1】求函数{x}^{{3}^{(15x)}} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( {x}^{{3}^{(15x)}}\right)}{dx}\\=&({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))\\=&15 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(x)ln(3) + \frac{{3}^{(15x)}{x}^{{3}^{(15x)}}}{x}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( 15 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(x)ln(3) + \frac{{3}^{(15x)}{x}^{{3}^{(15x)}}}{x}\right)}{dx}\\=&15({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}ln(x)ln(3) + 15 * {3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln(x)ln(3) + \frac{15 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(3)}{(x)} + \frac{15 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(x)*0}{(3)} + \frac{-{3}^{(15x)}{x}^{{3}^{(15x)}}}{x^{2}} + \frac{({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}}{x} + \frac{{3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))}{x}\\=&225 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln(x) + 225 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x) + \frac{30 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x} + \frac{15{x}^{{3}^{(15x)}}{3}^{(15x)}ln(3)}{x} + \frac{15 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(3)}{x} - \frac{{3}^{(15x)}{x}^{{3}^{(15x)}}}{x^{2}} + \frac{{3}^{(30x)}{x}^{{3}^{(15x)}}}{x^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( 225 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln(x) + 225 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x) + \frac{30 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x} + \frac{15{x}^{{3}^{(15x)}}{3}^{(15x)}ln(3)}{x} + \frac{15 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(3)}{x} - \frac{{3}^{(15x)}{x}^{{3}^{(15x)}}}{x^{2}} + \frac{{3}^{(30x)}{x}^{{3}^{(15x)}}}{x^{2}}\right)}{dx}\\=&225({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{2}(3)ln(x) + 225 * {3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{2}(3)ln(x) + \frac{225 * {3}^{(15x)}{x}^{{3}^{(15x)}}*2ln(3)*0ln(x)}{(3)} + \frac{225 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{2}(3)}{(x)} + 225({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x) + 225 * {3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{2}(3)ln^{2}(x) + \frac{225 * {3}^{(30x)}{x}^{{3}^{(15x)}}*2ln(3)*0ln^{2}(x)}{(3)} + \frac{225 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)*2ln(x)}{(x)} + \frac{30*-{3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{2}} + \frac{30({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}ln(x)ln(3)}{x} + \frac{30 * {3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln(x)ln(3)}{x} + \frac{30 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(3)}{x(x)} + \frac{30 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)*0}{x(3)} + \frac{15*-{x}^{{3}^{(15x)}}{3}^{(15x)}ln(3)}{x^{2}} + \frac{15({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)})){3}^{(15x)}ln(3)}{x} + \frac{15{x}^{{3}^{(15x)}}({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)}))ln(3)}{x} + \frac{15{x}^{{3}^{(15x)}}{3}^{(15x)}*0}{x(3)} + \frac{15*-{3}^{(15x)}{x}^{{3}^{(15x)}}ln(3)}{x^{2}} + \frac{15({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}ln(3)}{x} + \frac{15 * {3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln(3)}{x} + \frac{15 * {3}^{(15x)}{x}^{{3}^{(15x)}}*0}{x(3)} - \frac{-2 * {3}^{(15x)}{x}^{{3}^{(15x)}}}{x^{3}} - \frac{({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}}{x^{2}} - \frac{{3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))}{x^{2}} + \frac{-2 * {3}^{(30x)}{x}^{{3}^{(15x)}}}{x^{3}} + \frac{({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}}{x^{2}} + \frac{{3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))}{x^{2}}\\=&3375 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln(x) + 10125 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln^{2}(x) + \frac{1125 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln(x)}{x} + \frac{900 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln^{2}(3)}{x} + 3375 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln^{3}(x) + \frac{225 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x)}{x} - \frac{45 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{2}} + \frac{450 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(x)ln^{2}(3)}{x} + \frac{45 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{2}} - \frac{15{x}^{{3}^{(15x)}}{3}^{(15x)}ln(3)}{x^{2}} + \frac{225{x}^{{3}^{(15x)}}{3}^{(15x)}ln^{2}(3)}{x} + \frac{60 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(3)}{x^{2}} + \frac{450 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{2}(3)}{x} - \frac{30 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(3)}{x^{2}} + \frac{30{x}^{{3}^{(15x)}}{3}^{(30x)}ln(3)}{x^{2}} - \frac{3 * {3}^{(30x)}{x}^{{3}^{(15x)}}}{x^{3}} + \frac{2 * {3}^{(15x)}{x}^{{3}^{(15x)}}}{x^{3}} + \frac{{3}^{(45x)}{x}^{{3}^{(15x)}}}{x^{3}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( 3375 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln(x) + 10125 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln^{2}(x) + \frac{1125 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln(x)}{x} + \frac{900 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln^{2}(3)}{x} + 3375 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln^{3}(x) + \frac{225 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x)}{x} - \frac{45 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{2}} + \frac{450 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(x)ln^{2}(3)}{x} + \frac{45 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{2}} - \frac{15{x}^{{3}^{(15x)}}{3}^{(15x)}ln(3)}{x^{2}} + \frac{225{x}^{{3}^{(15x)}}{3}^{(15x)}ln^{2}(3)}{x} + \frac{60 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(3)}{x^{2}} + \frac{450 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{2}(3)}{x} - \frac{30 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(3)}{x^{2}} + \frac{30{x}^{{3}^{(15x)}}{3}^{(30x)}ln(3)}{x^{2}} - \frac{3 * {3}^{(30x)}{x}^{{3}^{(15x)}}}{x^{3}} + \frac{2 * {3}^{(15x)}{x}^{{3}^{(15x)}}}{x^{3}} + \frac{{3}^{(45x)}{x}^{{3}^{(15x)}}}{x^{3}}\right)}{dx}\\=&3375({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{3}(3)ln(x) + 3375 * {3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{3}(3)ln(x) + \frac{3375 * {3}^{(15x)}{x}^{{3}^{(15x)}}*3ln^{2}(3)*0ln(x)}{(3)} + \frac{3375 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{3}(3)}{(x)} + 10125({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{3}(3)ln^{2}(x) + 10125 * {3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{3}(3)ln^{2}(x) + \frac{10125 * {3}^{(30x)}{x}^{{3}^{(15x)}}*3ln^{2}(3)*0ln^{2}(x)}{(3)} + \frac{10125 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{3}(3)*2ln(x)}{(x)} + \frac{1125*-{3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln(x)}{x^{2}} + \frac{1125({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{2}(3)ln(x)}{x} + \frac{1125 * {3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{2}(3)ln(x)}{x} + \frac{1125 * {3}^{(30x)}{x}^{{3}^{(15x)}}*2ln(3)*0ln(x)}{x(3)} + \frac{1125 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)}{x(x)} + \frac{900*-{3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln^{2}(3)}{x^{2}} + \frac{900({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}ln(x)ln^{2}(3)}{x} + \frac{900 * {3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln(x)ln^{2}(3)}{x} + \frac{900 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)}{x(x)} + \frac{900 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)*2ln(3)*0}{x(3)} + 3375({3}^{(45x)}((45)ln(3) + \frac{(45x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{3}(3)ln^{3}(x) + 3375 * {3}^{(45x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{3}(3)ln^{3}(x) + \frac{3375 * {3}^{(45x)}{x}^{{3}^{(15x)}}*3ln^{2}(3)*0ln^{3}(x)}{(3)} + \frac{3375 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{3}(3)*3ln^{2}(x)}{(x)} + \frac{225*-{3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x)}{x^{2}} + \frac{225({3}^{(45x)}((45)ln(3) + \frac{(45x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x)}{x} + \frac{225 * {3}^{(45x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{2}(3)ln^{2}(x)}{x} + \frac{225 * {3}^{(45x)}{x}^{{3}^{(15x)}}*2ln(3)*0ln^{2}(x)}{x(3)} + \frac{225 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(3)*2ln(x)}{x(x)} - \frac{45*-2 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{3}} - \frac{45({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{2}} - \frac{45 * {3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln(x)ln(3)}{x^{2}} - \frac{45 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(3)}{x^{2}(x)} - \frac{45 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)*0}{x^{2}(3)} + \frac{450*-{3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(x)ln^{2}(3)}{x^{2}} + \frac{450({3}^{(45x)}((45)ln(3) + \frac{(45x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{2}(x)ln^{2}(3)}{x} + \frac{450 * {3}^{(45x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{2}(x)ln^{2}(3)}{x} + \frac{450 * {3}^{(45x)}{x}^{{3}^{(15x)}}*2ln(x)ln^{2}(3)}{x(x)} + \frac{450 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(x)*2ln(3)*0}{x(3)} + \frac{45*-2 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{3}} + \frac{45({3}^{(45x)}((45)ln(3) + \frac{(45x)(0)}{(3)})){x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{2}} + \frac{45 * {3}^{(45x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln(x)ln(3)}{x^{2}} + \frac{45 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln(3)}{x^{2}(x)} + \frac{45 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln(x)*0}{x^{2}(3)} - \frac{15*-2{x}^{{3}^{(15x)}}{3}^{(15x)}ln(3)}{x^{3}} - \frac{15({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)})){3}^{(15x)}ln(3)}{x^{2}} - \frac{15{x}^{{3}^{(15x)}}({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)}))ln(3)}{x^{2}} - \frac{15{x}^{{3}^{(15x)}}{3}^{(15x)}*0}{x^{2}(3)} + \frac{225*-{x}^{{3}^{(15x)}}{3}^{(15x)}ln^{2}(3)}{x^{2}} + \frac{225({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)})){3}^{(15x)}ln^{2}(3)}{x} + \frac{225{x}^{{3}^{(15x)}}({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)}))ln^{2}(3)}{x} + \frac{225{x}^{{3}^{(15x)}}{3}^{(15x)}*2ln(3)*0}{x(3)} + \frac{60*-2 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(3)}{x^{3}} + \frac{60({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}ln(3)}{x^{2}} + \frac{60 * {3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln(3)}{x^{2}} + \frac{60 * {3}^{(30x)}{x}^{{3}^{(15x)}}*0}{x^{2}(3)} + \frac{450*-{3}^{(15x)}{x}^{{3}^{(15x)}}ln^{2}(3)}{x^{2}} + \frac{450({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}ln^{2}(3)}{x} + \frac{450 * {3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln^{2}(3)}{x} + \frac{450 * {3}^{(15x)}{x}^{{3}^{(15x)}}*2ln(3)*0}{x(3)} - \frac{30*-2 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(3)}{x^{3}} - \frac{30({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}ln(3)}{x^{2}} - \frac{30 * {3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))ln(3)}{x^{2}} - \frac{30 * {3}^{(15x)}{x}^{{3}^{(15x)}}*0}{x^{2}(3)} + \frac{30*-2{x}^{{3}^{(15x)}}{3}^{(30x)}ln(3)}{x^{3}} + \frac{30({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)})){3}^{(30x)}ln(3)}{x^{2}} + \frac{30{x}^{{3}^{(15x)}}({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)}))ln(3)}{x^{2}} + \frac{30{x}^{{3}^{(15x)}}{3}^{(30x)}*0}{x^{2}(3)} - \frac{3*-3 * {3}^{(30x)}{x}^{{3}^{(15x)}}}{x^{4}} - \frac{3({3}^{(30x)}((30)ln(3) + \frac{(30x)(0)}{(3)})){x}^{{3}^{(15x)}}}{x^{3}} - \frac{3 * {3}^{(30x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))}{x^{3}} + \frac{2*-3 * {3}^{(15x)}{x}^{{3}^{(15x)}}}{x^{4}} + \frac{2({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})){x}^{{3}^{(15x)}}}{x^{3}} + \frac{2 * {3}^{(15x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))}{x^{3}} + \frac{-3 * {3}^{(45x)}{x}^{{3}^{(15x)}}}{x^{4}} + \frac{({3}^{(45x)}((45)ln(3) + \frac{(45x)(0)}{(3)})){x}^{{3}^{(15x)}}}{x^{3}} + \frac{{3}^{(45x)}({x}^{{3}^{(15x)}}((({3}^{(15x)}((15)ln(3) + \frac{(15x)(0)}{(3)})))ln(x) + \frac{({3}^{(15x)})(1)}{(x)}))}{x^{3}}\\=&50625 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{4}(3)ln(x) + 354375 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{4}(3)ln^{2}(x) + \frac{64125 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln(x)}{x} + \frac{30375 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln^{3}(3)}{x} + 303750 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{4}(3)ln^{3}(x) + \frac{40500 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln^{2}(x)}{x} - \frac{2475 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln(x)}{x^{2}} - \frac{1575 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln^{2}(3)}{x^{2}} + \frac{40500 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(x)ln^{3}(3)}{x} + \frac{3150 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln(x)}{x^{2}} - \frac{225 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x)}{x^{2}} + \frac{3600 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln(x)ln^{2}(3)}{x^{2}} + 50625 * {3}^{(60x)}{x}^{{3}^{(15x)}}ln^{4}(3)ln^{4}(x) + \frac{3375 * {3}^{(60x)}{x}^{{3}^{(15x)}}ln^{3}(3)ln^{3}(x)}{x} + \frac{120 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{3}} + \frac{10125 * {3}^{(60x)}{x}^{{3}^{(15x)}}ln^{3}(x)ln^{3}(3)}{x} + \frac{225 * {3}^{(60x)}{x}^{{3}^{(15x)}}ln^{2}(3)ln^{2}(x)}{x^{2}} - \frac{1125 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln^{2}(x)ln^{2}(3)}{x^{2}} - \frac{180 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{3}} + \frac{1125 * {3}^{(60x)}{x}^{{3}^{(15x)}}ln^{2}(x)ln^{2}(3)}{x^{2}} + \frac{60 * {3}^{(60x)}{x}^{{3}^{(15x)}}ln(x)ln(3)}{x^{3}} + \frac{45{x}^{{3}^{(15x)}}{3}^{(45x)}ln(3)}{x^{3}} + \frac{30{x}^{{3}^{(15x)}}{3}^{(15x)}ln(3)}{x^{3}} - \frac{105{x}^{{3}^{(15x)}}{3}^{(30x)}ln(3)}{x^{3}} - \frac{255 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln(3)}{x^{3}} - \frac{1125 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{2}(3)}{x^{2}} - \frac{225{x}^{{3}^{(15x)}}{3}^{(15x)}ln^{2}(3)}{x^{2}} + \frac{3375{x}^{{3}^{(15x)}}{3}^{(15x)}ln^{3}(3)}{x} + \frac{3375 * {3}^{(30x)}{x}^{{3}^{(15x)}}ln^{2}(3)}{x^{2}} + \frac{10125 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln^{3}(3)}{x} + \frac{135 * {3}^{(45x)}{x}^{{3}^{(15x)}}ln(3)}{x^{3}} + \frac{90 * {3}^{(15x)}{x}^{{3}^{(15x)}}ln(3)}{x^{3}} + \frac{2025{x}^{{3}^{(15x)}}{3}^{(30x)}ln^{2}(3)}{x^{2}} - \frac{6 * {3}^{(45x)}{x}^{{3}^{(15x)}}}{x^{4}} - \frac{6 * {3}^{(15x)}{x}^{{3}^{(15x)}}}{x^{4}} + \frac{11 * {3}^{(30x)}{x}^{{3}^{(15x)}}}{x^{4}} + \frac{{3}^{(60x)}{x}^{{3}^{(15x)}}}{x^{4}}\\ \end{split}\end{equation} \]

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