本次共计算 1 个题目:每一题对 x 求 1 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数\frac{ln(6x - 5 + (2sqrt(59))sqrt(3{x}^{2} - 5x + 7))}{sqrt(59)} 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{ln(6x + 2sqrt(59)sqrt(3x^{2} - 5x + 7) - 5)}{sqrt(59)}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{ln(6x + 2sqrt(59)sqrt(3x^{2} - 5x + 7) - 5)}{sqrt(59)}\right)}{dx}\\=&\frac{(6 + 2*0*\frac{1}{2}*59^{\frac{1}{2}}sqrt(3x^{2} - 5x + 7) + \frac{2sqrt(59)(3*2x - 5 + 0)*\frac{1}{2}}{(3x^{2} - 5x + 7)^{\frac{1}{2}}} + 0)}{(6x + 2sqrt(59)sqrt(3x^{2} - 5x + 7) - 5)sqrt(59)} + \frac{ln(6x + 2sqrt(59)sqrt(3x^{2} - 5x + 7) - 5)*-0*\frac{1}{2}*59^{\frac{1}{2}}}{(59)}\\=&\frac{6}{(6x + 2sqrt(59)sqrt(3x^{2} - 5x + 7) - 5)sqrt(59)} + \frac{6x}{(6x + 2sqrt(59)sqrt(3x^{2} - 5x + 7) - 5)(3x^{2} - 5x + 7)^{\frac{1}{2}}} - \frac{5}{(6x + 2sqrt(59)sqrt(3x^{2} - 5x + 7) - 5)(3x^{2} - 5x + 7)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!