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。\[ \begin{equation}\begin{split}【1/1】求函数{x}^{{13}^{{4}^{x}}} 关于 x 的 4 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( {x}^{{13}^{{4}^{x}}}\right)}{dx}\\=&({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))\\=&{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(x)ln(13) + \frac{{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(x)ln(13) + \frac{{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x}\right)}{dx}\\=&({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(x)ln(13) + {4}^{x}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln(4)ln(x)ln(13) + {4}^{x}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(4)ln(x)ln(13) + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*0ln(x)ln(13)}{(4)} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{(x)} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(x)*0}{(13)} + \frac{-{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x^{2}} + \frac{({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}}{x} + \frac{{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))}{x}\\=&{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln(13) + {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)ln(x) + {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)ln^{2}(x) + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x} - \frac{{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{2}}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln(13) + {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)ln(x) + {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)ln^{2}(x) + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x} - \frac{{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{2}}\right)}{dx}\\=&({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln(13) + {4}^{x}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln(13) + {4}^{x}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(4)ln(x)ln(13) + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*2ln(4)*0ln(x)ln(13)}{(4)} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{(x)} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)*0}{(13)} + ({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)ln(x) + {4}^{(2x)}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)ln(x) + {4}^{(2x)}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(13)ln^{2}(4)ln(x) + \frac{{4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*2ln(13)*0ln^{2}(4)ln(x)}{(13)} + \frac{{4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)*2ln(4)*0ln(x)}{(4)} + \frac{{4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)}{(x)} + ({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)ln^{2}(x) + {4}^{(2x)}({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)ln^{2}(x) + {4}^{(2x)}{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(13)ln^{2}(4)ln^{2}(x) + \frac{{4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}*2ln(13)*0ln^{2}(4)ln^{2}(x)}{(13)} + \frac{{4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)*2ln(4)*0ln^{2}(x)}{(4)} + \frac{{4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)*2ln(x)}{(x)} + \frac{-{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{2}} + \frac{({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{x}ln(4)ln(x)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)}))ln(4)ln(x)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}*0ln(x)ln(13)}{x(4)} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x(x)} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)*0}{x(13)} + \frac{-{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} + \frac{({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x} + \frac{{13}^{(2 * {4}^{x})}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(13)ln(4)ln(x)}{x} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}*0ln(4)ln(x)}{x(13)} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)*0ln(x)}{x(4)} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x(x)} + \frac{-{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} + \frac{({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x} + \frac{{4}^{x}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x} + \frac{{4}^{x}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(13)ln(4)}{x} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*0ln(4)}{x(13)} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)*0}{x(4)} + \frac{-{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} + \frac{({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x} + \frac{{4}^{x}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x} + \frac{{4}^{x}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(4)ln(13)}{x} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*0ln(13)}{x(4)} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)*0}{x(13)} - \frac{-2 * {13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x^{3}} - \frac{({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}}{x^{2}} - \frac{{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))}{x^{2}} + \frac{-2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{3}} + \frac{({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))}{x^{2}}\\=&{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(x)ln(13) + {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)ln(x) + {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)ln^{2}(x) + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(x)ln(13)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)ln^{2}(13)ln(x)}{x} + 2 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln(x) + {4}^{(3x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln(x) + 3 * {4}^{(3x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln^{2}(x) + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln(x)}{x} - \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{2}} + 2 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln^{2}(x) + {4}^{(3x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln^{3}(x) + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln^{2}(x)}{x} - \frac{2 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} + \frac{4 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)ln(x)}{x} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(x)ln^{2}(13)}{x} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{2}} + \frac{{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}ln^{2}(4)ln(x)ln(13)}{x} + \frac{{4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)ln(x)}{x} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} + \frac{2 * {13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} - \frac{2 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} + \frac{3 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x} + \frac{3 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(13)ln(4)}{x^{2}} - \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} + \frac{2 * {4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} - \frac{3 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{3}} + \frac{2 * {13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x^{3}} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{3}}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(x)ln(13) + {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)ln(x) + {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)ln^{2}(x) + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(x)ln(13)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)ln^{2}(13)ln(x)}{x} + 2 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln(x) + {4}^{(3x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln(x) + 3 * {4}^{(3x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln^{2}(x) + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln(x)}{x} - \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{2}} + 2 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln^{2}(x) + {4}^{(3x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln^{3}(x) + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln^{2}(x)}{x} - \frac{2 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} + \frac{4 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)ln(x)}{x} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(x)ln^{2}(13)}{x} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{2}} + \frac{{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}ln^{2}(4)ln(x)ln(13)}{x} + \frac{{4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)ln(x)}{x} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} + \frac{2 * {13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} - \frac{2 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} + \frac{3 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x} + \frac{3 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(13)ln(4)}{x^{2}} - \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} + \frac{2 * {4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} - \frac{3 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{3}} + \frac{2 * {13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x^{3}} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{3}}\right)}{dx}\\=&({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(x)ln(13) + {4}^{x}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(x)ln(13) + {4}^{x}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{3}(4)ln(x)ln(13) + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*3ln^{2}(4)*0ln(x)ln(13)}{(4)} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(13)}{(x)} + \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(x)*0}{(13)} + ({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)ln(x) + {4}^{(2x)}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)ln(x) + {4}^{(2x)}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(13)ln^{3}(4)ln(x) + \frac{{4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*2ln(13)*0ln^{3}(4)ln(x)}{(13)} + \frac{{4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)*3ln^{2}(4)*0ln(x)}{(4)} + \frac{{4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)}{(x)} + ({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)ln^{2}(x) + {4}^{(2x)}({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)ln^{2}(x) + {4}^{(2x)}{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(13)ln^{3}(4)ln^{2}(x) + \frac{{4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}*2ln(13)*0ln^{3}(4)ln^{2}(x)}{(13)} + \frac{{4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)*3ln^{2}(4)*0ln^{2}(x)}{(4)} + \frac{{4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)*2ln(x)}{(x)} + \frac{-{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(x)ln(13)}{x^{2}} + \frac{({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(x)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{x}ln^{2}(4)ln(x)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)}))ln^{2}(4)ln(x)ln(13)}{x} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}*2ln(4)*0ln(x)ln(13)}{x(4)} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(13)}{x(x)} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(x)*0}{x(13)} + \frac{2*-{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)ln^{2}(13)ln(x)}{x^{2}} + \frac{2({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)ln^{2}(13)ln(x)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{(2x)}ln^{2}(4)ln^{2}(13)ln(x)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)}))ln^{2}(4)ln^{2}(13)ln(x)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}*2ln(4)*0ln^{2}(13)ln(x)}{x(4)} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)*2ln(13)*0ln(x)}{x(13)} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)ln^{2}(13)}{x(x)} + 2({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln(x) + 2 * {4}^{(2x)}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln(x) + 2 * {4}^{(2x)}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{3}(4)ln^{2}(13)ln(x) + \frac{2 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*3ln^{2}(4)*0ln^{2}(13)ln(x)}{(4)} + \frac{2 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)*2ln(13)*0ln(x)}{(13)} + \frac{2 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)}{(x)} + ({4}^{(3x)}((3)ln(4) + \frac{(3x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln(x) + {4}^{(3x)}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln(x) + {4}^{(3x)}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{3}(13)ln^{3}(4)ln(x) + \frac{{4}^{(3x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*3ln^{2}(13)*0ln^{3}(4)ln(x)}{(13)} + \frac{{4}^{(3x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(13)*3ln^{2}(4)*0ln(x)}{(4)} + \frac{{4}^{(3x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)}{(x)} + 3({4}^{(3x)}((3)ln(4) + \frac{(3x)(0)}{(4)})){13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln^{2}(x) + 3 * {4}^{(3x)}({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln^{2}(x) + 3 * {4}^{(3x)}{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{3}(13)ln^{3}(4)ln^{2}(x) + \frac{3 * {4}^{(3x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}*3ln^{2}(13)*0ln^{3}(4)ln^{2}(x)}{(13)} + \frac{3 * {4}^{(3x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)*3ln^{2}(4)*0ln^{2}(x)}{(4)} + \frac{3 * {4}^{(3x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)*2ln(x)}{(x)} + \frac{-{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln(x)}{x^{2}} + \frac{({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln(x)}{x} + \frac{{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{(2x)}ln^{2}(13)ln^{2}(4)ln(x)}{x} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)}))ln^{2}(13)ln^{2}(4)ln(x)}{x} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}*2ln(13)*0ln^{2}(4)ln(x)}{x(13)} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)*2ln(4)*0ln(x)}{x(4)} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)}{x(x)} - \frac{-2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{3}} - \frac{({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{2}} - \frac{{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{x}ln(4)ln(x)ln(13)}{x^{2}} - \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)}))ln(4)ln(x)ln(13)}{x^{2}} - \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}*0ln(x)ln(13)}{x^{2}(4)} - \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x^{2}(x)} - \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)*0}{x^{2}(13)} + 2({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln^{2}(x) + 2 * {4}^{(2x)}({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln^{2}(x) + 2 * {4}^{(2x)}{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{3}(4)ln^{2}(13)ln^{2}(x) + \frac{2 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}*3ln^{2}(4)*0ln^{2}(13)ln^{2}(x)}{(4)} + \frac{2 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)*2ln(13)*0ln^{2}(x)}{(13)} + \frac{2 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)*2ln(x)}{(x)} + ({4}^{(3x)}((3)ln(4) + \frac{(3x)(0)}{(4)})){13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln^{3}(x) + {4}^{(3x)}({13}^{(3 * {4}^{x})}((3({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(3 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)ln^{3}(x) + {4}^{(3x)}{13}^{(3 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{3}(13)ln^{3}(4)ln^{3}(x) + \frac{{4}^{(3x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}*3ln^{2}(13)*0ln^{3}(4)ln^{3}(x)}{(13)} + \frac{{4}^{(3x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)*3ln^{2}(4)*0ln^{3}(x)}{(4)} + \frac{{4}^{(3x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{3}(4)*3ln^{2}(x)}{(x)} + \frac{-{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln^{2}(x)}{x^{2}} + \frac{({13}^{(3 * {4}^{x})}((3({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(3 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln^{2}(x)}{x} + \frac{{13}^{(3 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{(2x)}ln^{2}(13)ln^{2}(4)ln^{2}(x)}{x} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)}))ln^{2}(13)ln^{2}(4)ln^{2}(x)}{x} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}*2ln(13)*0ln^{2}(4)ln^{2}(x)}{x(13)} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)*2ln(4)*0ln^{2}(x)}{x(4)} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)*2ln(x)}{x(x)} - \frac{2*-2 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{3}} - \frac{2({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} - \frac{2 * {13}^{(2 * {4}^{x})}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} - \frac{2 * {13}^{(2 * {4}^{x})}{4}^{x}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(13)ln(4)ln(x)}{x^{2}} - \frac{2 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}*0ln(4)ln(x)}{x^{2}(13)} - \frac{2 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)*0ln(x)}{x^{2}(4)} - \frac{2 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}(x)} + \frac{4*-{4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)ln(x)}{x^{2}} + \frac{4({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)ln(x)}{x} + \frac{4 * {4}^{(2x)}({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)ln(x)}{x} + \frac{4 * {4}^{(2x)}{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(4)ln^{2}(13)ln(x)}{x} + \frac{4 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}*2ln(4)*0ln^{2}(13)ln(x)}{x(4)} + \frac{4 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)*2ln(13)*0ln(x)}{x(13)} + \frac{4 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x(x)} + \frac{2*-{13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(x)ln^{2}(13)}{x^{2}} + \frac{2({13}^{(3 * {4}^{x})}((3({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(3 * {4}^{x})(0)}{(13)})){4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(3 * {4}^{x})}({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{(2x)}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(4)ln^{2}(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}*2ln(4)*0ln^{2}(x)ln^{2}(13)}{x(4)} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)*2ln(x)ln^{2}(13)}{x(x)} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(x)*2ln(13)*0}{x(13)} + \frac{-2 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{3}} + \frac{({13}^{(3 * {4}^{x})}((3({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(3 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{2}} + \frac{{13}^{(3 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{x}ln(4)ln(x)ln(13)}{x^{2}} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)}))ln(4)ln(x)ln(13)}{x^{2}} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}*0ln(x)ln(13)}{x^{2}(4)} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x^{2}(x)} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)*0}{x^{2}(13)} + \frac{-{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}ln^{2}(4)ln(x)ln(13)}{x^{2}} + \frac{({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{x}{13}^{(2 * {4}^{x})}ln^{2}(4)ln(x)ln(13)}{x} + \frac{{x}^{{13}^{{4}^{x}}}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{(2 * {4}^{x})}ln^{2}(4)ln(x)ln(13)}{x} + \frac{{x}^{{13}^{{4}^{x}}}{4}^{x}({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)}))ln^{2}(4)ln(x)ln(13)}{x} + \frac{{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}*2ln(4)*0ln(x)ln(13)}{x(4)} + \frac{{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}ln^{2}(4)ln(13)}{x(x)} + \frac{{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}ln^{2}(4)ln(x)*0}{x(13)} + \frac{-{4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)ln(x)}{x^{2}} + \frac{({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)ln(x)}{x} + \frac{{4}^{x}({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)ln(x)}{x} + \frac{{4}^{x}{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(4)ln(13)ln(x)}{x} + \frac{{4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}*2ln(4)*0ln(13)ln(x)}{x(4)} + \frac{{4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)*0ln(x)}{x(13)} + \frac{{4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{x(x)} + \frac{2*-2 * {13}^{(3 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{3}} + \frac{2({13}^{(3 * {4}^{x})}((3({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(3 * {4}^{x})(0)}{(13)})){4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} + \frac{2 * {13}^{(3 * {4}^{x})}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{2}} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{x}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(13)ln(4)ln(x)}{x^{2}} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}*0ln(4)ln(x)}{x^{2}(13)} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)*0ln(x)}{x^{2}(4)} + \frac{2 * {13}^{(3 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}(x)} + \frac{2*-{13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln^{2}(13)}{x^{2}} + \frac{2({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}{4}^{(2x)}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(4)ln(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}*2ln(4)*0ln(x)ln^{2}(13)}{x(4)} + \frac{2 * {13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x(x)} + \frac{2 * {13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)*2ln(13)*0}{x(13)} + \frac{2*-2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x^{3}} + \frac{2({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x^{2}} + \frac{2 * {13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{x}ln(4)ln(13)}{x^{2}} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)}))ln(4)ln(13)}{x^{2}} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}*0ln(13)}{x^{2}(4)} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)*0}{x^{2}(13)} + \frac{-2 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{3}} + \frac{({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){4}^{x}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(4)ln(13)}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}*0ln(13)}{x^{2}(4)} + \frac{{13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(4)*0}{x^{2}(13)} - \frac{2*-2 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{3}} - \frac{2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} - \frac{2 * {4}^{x}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} - \frac{2 * {4}^{x}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(13)ln(4)}{x^{2}} - \frac{2 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*0ln(4)}{x^{2}(13)} - \frac{2 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)*0}{x^{2}(4)} + \frac{3*-{4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x^{2}} + \frac{3({4}^{(2x)}((2)ln(4) + \frac{(2x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x} + \frac{3 * {4}^{(2x)}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x} + \frac{3 * {4}^{(2x)}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(4)ln^{2}(13)}{x} + \frac{3 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*2ln(4)*0ln^{2}(13)}{x(4)} + \frac{3 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)*2ln(13)*0}{x(13)} + \frac{3*-{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{x^{2}} + \frac{3({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{x} + \frac{3 * {4}^{x}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{x} + \frac{3 * {4}^{x}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln^{2}(4)ln(13)}{x} + \frac{3 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*2ln(4)*0ln(13)}{x(4)} + \frac{3 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)*0}{x(13)} + \frac{-2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(13)ln(4)}{x^{3}} + \frac{({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}{4}^{x}ln(13)ln(4)}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)})){4}^{x}ln(13)ln(4)}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)}))ln(13)ln(4)}{x^{2}} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}*0ln(4)}{x^{2}(13)} + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(13)*0}{x^{2}(4)} - \frac{-2 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{3}} - \frac{({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} - \frac{{4}^{x}({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{2}} - \frac{{4}^{x}{13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(4)ln(13)}{x^{2}} - \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}*0ln(13)}{x^{2}(4)} - \frac{{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)*0}{x^{2}(13)} + \frac{2*-2 * {4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{3}} + \frac{2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})){13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} + \frac{2 * {4}^{x}({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{2}} + \frac{2 * {4}^{x}{13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))ln(13)ln(4)}{x^{2}} + \frac{2 * {4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}*0ln(4)}{x^{2}(13)} + \frac{2 * {4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln(13)*0}{x^{2}(4)} - \frac{3*-3 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{4}} - \frac{3({13}^{(2 * {4}^{x})}((2({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(2 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}}{x^{3}} - \frac{3 * {13}^{(2 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))}{x^{3}} + \frac{2*-3 * {13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x^{4}} + \frac{2({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}}{x^{3}} + \frac{2 * {13}^{{4}^{x}}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))}{x^{3}} + \frac{-3 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{4}} + \frac{({13}^{(3 * {4}^{x})}((3({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{(3 * {4}^{x})(0)}{(13)})){x}^{{13}^{{4}^{x}}}}{x^{3}} + \frac{{13}^{(3 * {4}^{x})}({x}^{{13}^{{4}^{x}}}((({13}^{{4}^{x}}((({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})))ln(13) + \frac{({4}^{x})(0)}{(13)})))ln(x) + \frac{({13}^{{4}^{x}})(1)}{(x)}))}{x^{3}}\\=&{4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{4}(4)ln(x)ln(13) + {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{4}(4)ln(x) + {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{4}(4)ln^{2}(x) + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{3}(4)ln(x)ln(13)}{x} + \frac{4 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{3}(4)ln^{2}(13)ln(x)}{x} + 6 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{4}(4)ln^{2}(13)ln(x) + 3 * {4}^{(3x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{4}(4)ln(x) + 9 * {4}^{(3x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{4}(4)ln^{2}(x) + \frac{5 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{3}(4)ln(x)}{x} - \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(x)ln(13)}{x^{2}} + 6 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{4}(4)ln^{2}(13)ln^{2}(x) + 3 * {4}^{(3x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(13)ln^{4}(4)ln^{3}(x) + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{3}(4)ln^{2}(x)}{x} - \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)ln^{2}(13)ln(x)}{x^{2}} + \frac{6 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(3x)}ln^{3}(4)ln^{3}(13)ln(x)}{x} + \frac{14 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)ln(x)}{x} + \frac{3 * {13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(x)ln^{2}(13)}{x} + \frac{2 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(x)ln(13)}{x^{2}} + \frac{{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}ln^{3}(4)ln(x)ln(13)}{x} - \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln(x)}{x^{2}} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{3}} + \frac{18 * {4}^{(3x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{3}(13)ln(x)}{x} + \frac{9 * {13}^{(3 * {4}^{x})}{4}^{(3x)}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(x)ln^{3}(13)}{x} + \frac{6 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)ln^{2}(13)ln(x)}{x^{2}} + \frac{6{x}^{{13}^{{4}^{x}}}{4}^{(2x)}{13}^{(2 * {4}^{x})}ln^{3}(4)ln^{2}(13)ln(x)}{x} + \frac{3 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(3x)}ln^{3}(4)ln^{3}(13)ln^{2}(x)}{x} + 3 * {4}^{(3x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{4}(4)ln^{3}(13)ln(x) + {4}^{(4x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{4}(13)ln^{4}(4)ln(x) + 7 * {4}^{(4x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{4}(13)ln^{4}(4)ln^{2}(x) + \frac{{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(3x)}ln^{3}(13)ln^{3}(4)ln(x)}{x} - \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln^{2}(x)}{x^{2}} + 9 * {4}^{(3x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{4}(4)ln^{3}(13)ln^{2}(x) + 6 * {4}^{(4x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{4}(13)ln^{4}(4)ln^{3}(x) + \frac{3 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(3x)}ln^{3}(13)ln^{3}(4)ln^{2}(x)}{x} + \frac{2{x}^{{13}^{{4}^{x}}}{4}^{(2x)}{13}^{(3 * {4}^{x})}ln^{2}(4)ln^{2}(13)ln(x)}{x^{2}} + \frac{6 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{3}} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln(x)}{x^{2}} - \frac{10 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)ln(x)}{x^{2}} - \frac{5 * {13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(x)ln^{2}(13)}{x^{2}} - \frac{3 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{3}} - \frac{2{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}ln^{2}(4)ln(x)ln(13)}{x^{2}} + \frac{4 * {4}^{(2x)}{x}^{{13}^{{4}^{x}}}{13}^{(3 * {4}^{x})}ln(x)ln^{2}(4)ln^{2}(13)}{x^{2}} + \frac{2 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{3}(4)ln^{2}(13)ln^{2}(x)}{x} + 3 * {4}^{(3x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{4}(4)ln^{3}(13)ln^{3}(x) + {4}^{(4x)}{13}^{(4 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{4}(13)ln^{4}(4)ln^{4}(x) + \frac{{13}^{(4 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(3x)}ln^{3}(13)ln^{3}(4)ln^{3}(x)}{x} - \frac{3 * {4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)ln(x)}{x^{2}} + \frac{9 * {4}^{(3x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{3}(13)ln^{2}(x)}{x} + \frac{3 * {13}^{(4 * {4}^{x})}{4}^{(3x)}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{3}(x)ln^{3}(13)}{x} + \frac{{13}^{(4 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)ln^{2}(x)}{x^{2}} + \frac{2{x}^{{13}^{{4}^{x}}}{4}^{(2x)}{13}^{(3 * {4}^{x})}ln^{3}(4)ln^{2}(13)ln^{2}(x)}{x} - \frac{9 * {13}^{(3 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{3}} - \frac{5 * {13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln^{2}(13)}{x^{2}} + \frac{4 * {4}^{(2x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(x)ln^{2}(13)}{x} + \frac{5 * {13}^{(4 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(x)ln^{2}(13)}{x^{2}} + \frac{9 * {4}^{(2x)}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)ln(x)}{x^{2}} + \frac{{13}^{(4 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(x)ln(13)}{x^{3}} + \frac{{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(3 * {4}^{x})}ln^{2}(4)ln(x)ln(13)}{x^{2}} + \frac{{4}^{x}{x}^{{13}^{{4}^{x}}}{13}^{(2 * {4}^{x})}ln^{3}(4)ln(x)ln(13)}{x} + \frac{{4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(13)ln(x)}{x} + \frac{{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(13)ln(x)}{x^{2}} + \frac{2 * {4}^{x}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)ln(x)}{x^{2}} + \frac{3 * {13}^{(4 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)ln(x)}{x^{3}} + \frac{4 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(x)ln^{2}(13)}{x} + \frac{8 * {13}^{(3 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(x)ln^{2}(13)}{x^{2}} + \frac{3 * {13}^{(2 * {4}^{x})}{4}^{(3x)}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(x)ln^{3}(13)}{x} + \frac{3 * {13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(x)ln^{2}(13)}{x} + \frac{4 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{2}(4)}{x^{2}} + \frac{{4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln(13)ln^{2}(4)}{x^{2}} + \frac{10 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{2}(13)}{x} + \frac{4 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln(13)}{x} + \frac{4 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(4)ln^{2}(13)}{x^{2}} + \frac{3 * {13}^{(3 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{3}} + \frac{4 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln^{2}(4)ln(13)}{x^{2}} - \frac{4 * {13}^{(2 * {4}^{x})}{4}^{x}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{3}} + \frac{3 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x^{3}} + \frac{2 * {13}^{(2 * {4}^{x})}{4}^{(2x)}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x^{2}} + \frac{12 * {4}^{(2x)}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x^{2}} + \frac{2 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(13)ln^{3}(4)}{x} + \frac{3 * {4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{x^{2}} + \frac{6 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{3}} - \frac{6 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln(13)}{x^{2}} - \frac{6 * {4}^{(2x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{2}(4)ln^{2}(13)}{x^{2}} - \frac{6 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(4)ln(13)}{x^{3}} - \frac{4 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(13)ln(4)}{x^{3}} + \frac{4{x}^{{13}^{{4}^{x}}}{4}^{x}{13}^{(2 * {4}^{x})}ln^{2}(4)ln(13)}{x^{2}} + \frac{4 * {4}^{(3x)}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln^{3}(4)ln^{3}(13)}{x} + \frac{3 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{x}ln(13)ln(4)}{x^{3}} + \frac{2 * {4}^{x}{13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}ln(4)ln(13)}{x^{3}} - \frac{10 * {4}^{x}{13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{3}} + \frac{2 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}{4}^{(2x)}ln^{2}(13)ln^{2}(4)}{x^{2}} + \frac{3 * {4}^{x}{13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}ln(13)ln(4)}{x^{3}} - \frac{6 * {13}^{{4}^{x}}{x}^{{13}^{{4}^{x}}}}{x^{4}} + \frac{11 * {13}^{(2 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{4}} - \frac{6 * {13}^{(3 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{4}} + \frac{{13}^{(4 * {4}^{x})}{x}^{{13}^{{4}^{x}}}}{x^{4}}\\ \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!