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。\[ \begin{equation}\begin{split}【1/1】求函数0.5 * {10}^{(7.84135 - \frac{1750}{x})} + 0.3 * {10}^{(8.0884 - \frac{1985}{x})} + 0.2 * {10}^{(8.11404 - \frac{2129}{x})} - 760 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = 0.5 * {10}^{(\frac{-1750}{x} + 7.84135)} + 0.3 * {10}^{(\frac{-1985}{x} + 8.0884)} + 0.2 * {10}^{(\frac{-2129}{x} + 8.11404)} - 760\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( 0.5 * {10}^{(\frac{-1750}{x} + 7.84135)} + 0.3 * {10}^{(\frac{-1985}{x} + 8.0884)} + 0.2 * {10}^{(\frac{-2129}{x} + 8.11404)} - 760\right)}{dx}\\=&0.5({10}^{(\frac{-1750}{x} + 7.84135)}((\frac{-1750*-1}{x^{2}} + 0)ln(10) + \frac{(\frac{-1750}{x} + 7.84135)(0)}{(10)})) + 0.3({10}^{(\frac{-1985}{x} + 8.0884)}((\frac{-1985*-1}{x^{2}} + 0)ln(10) + \frac{(\frac{-1985}{x} + 8.0884)(0)}{(10)})) + 0.2({10}^{(\frac{-2129}{x} + 8.11404)}((\frac{-2129*-1}{x^{2}} + 0)ln(10) + \frac{(\frac{-2129}{x} + 8.11404)(0)}{(10)})) + 0\\=&\frac{875 * {10}^{(\frac{-1750}{x} + 7.84135)}ln(10)}{x^{2}} + \frac{595.5 * {10}^{(\frac{-1985}{x} + 8.0884)}ln(10)}{x^{2}} + \frac{425.8 * {10}^{(\frac{-2129}{x} + 8.11404)}ln(10)}{x^{2}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!