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。\[ \begin{equation}\begin{split}【1/1】求函数\frac{-{x}^{2}}{(90000000000000000sqrt(1 - \frac{{x}^{2}}{90000000000000000}))} + sqrt(1 - \frac{{x}^{2}}{90000000000000000}) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{\frac{-1}{90000000000000000}x^{2}}{sqrt(\frac{-1}{90000000000000000}x^{2} + 1)} + sqrt(\frac{-1}{90000000000000000}x^{2} + 1)\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{\frac{-1}{90000000000000000}x^{2}}{sqrt(\frac{-1}{90000000000000000}x^{2} + 1)} + sqrt(\frac{-1}{90000000000000000}x^{2} + 1)\right)}{dx}\\=&\frac{\frac{-1}{90000000000000000}*2x}{sqrt(\frac{-1}{90000000000000000}x^{2} + 1)} - \frac{\frac{1}{90000000000000000}x^{2}*-(\frac{-1}{90000000000000000}*2x + 0)*\frac{1}{2}}{(\frac{-1}{90000000000000000}x^{2} + 1)(\frac{-1}{90000000000000000}x^{2} + 1)^{\frac{1}{2}}} + \frac{(\frac{-1}{90000000000000000}*2x + 0)*\frac{1}{2}}{(\frac{-1}{90000000000000000}x^{2} + 1)^{\frac{1}{2}}}\\=&\frac{-x}{45000000000000000sqrt(\frac{-1}{90000000000000000}x^{2} + 1)} - \frac{x^{3}}{5456049174044737536(\frac{-1}{90000000000000000}x^{2} + 1)^{\frac{3}{2}}} - \frac{x}{90000000000000000(\frac{-1}{90000000000000000}x^{2} + 1)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!