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。\[ \begin{equation}\begin{split}【1/1】求函数(x + 0)(x - \frac{1}{10})(x - \frac{1}{5})(x - \frac{3}{10})(x - \frac{2}{5})(x - \frac{1}{2})(x - \frac{3}{5})(x - \frac{7}{10})(x - \frac{4}{5})(x - \frac{9}{10})(x - 1) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = x^{11} - \frac{11}{2}x^{10} + \frac{66}{5}x^{9} - \frac{363}{20}x^{8} + \frac{157773}{10000}x^{7} - \frac{180411}{20000}x^{6} + \frac{341693}{100000}x^{5} - \frac{16819}{20000}x^{4} + \frac{1594197}{12500000}x^{3} - \frac{66429}{6250000}x^{2} + \frac{567}{1562500}x\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( x^{11} - \frac{11}{2}x^{10} + \frac{66}{5}x^{9} - \frac{363}{20}x^{8} + \frac{157773}{10000}x^{7} - \frac{180411}{20000}x^{6} + \frac{341693}{100000}x^{5} - \frac{16819}{20000}x^{4} + \frac{1594197}{12500000}x^{3} - \frac{66429}{6250000}x^{2} + \frac{567}{1562500}x\right)}{dx}\\=&11x^{10} - \frac{11}{2}*10x^{9} + \frac{66}{5}*9x^{8} - \frac{363}{20}*8x^{7} + \frac{157773}{10000}*7x^{6} - \frac{180411}{20000}*6x^{5} + \frac{341693}{100000}*5x^{4} - \frac{16819}{20000}*4x^{3} + \frac{1594197}{12500000}*3x^{2} - \frac{66429}{6250000}*2x + \frac{567}{1562500}\\=&11x^{10} - 55x^{9} + \frac{594x^{8}}{5} - \frac{726x^{7}}{5} + \frac{1104411x^{6}}{10000} - \frac{541233x^{5}}{10000} + \frac{341693x^{4}}{20000} - \frac{16819x^{3}}{5000} + \frac{4782591x^{2}}{12500000} - \frac{66429x}{3125000} + \frac{567}{1562500}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!