本次共计算 1 个题目:每一题对 x 求 2 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数0.0000005011{x}^{6} - 0.0007528614{x}^{5} + 0.2350843453{x}^{4} - 27.2513463563{x}^{3} + 1550.4359231756{x}^{2} - 43726.1307317015x 关于 x 的 2 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = 0.0000005011x^{6} - 0.0007528614x^{5} + 0.2350843453x^{4} - 27.2513463563x^{3} + 1550.4359231756x^{2} - 43726.1307317015x\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( 0.0000005011x^{6} - 0.0007528614x^{5} + 0.2350843453x^{4} - 27.2513463563x^{3} + 1550.4359231756x^{2} - 43726.1307317015x\right)}{dx}\\=&0.0000005011*6x^{5} - 0.0007528614*5x^{4} + 0.2350843453*4x^{3} - 27.2513463563*3x^{2} + 1550.4359231756*2x - 43726.1307317015\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( 0.0000030066x^{5} - 0.003764307x^{4} + 0.9403373812x^{3} - 81.7540390689x^{2} + 3100.8718463512x - 43726.1307317015\right)}{dx}\\=&0.0000030066*5x^{4} - 0.003764307*4x^{3} + 0.9403373812*3x^{2} - 81.7540390689*2x + 3100.8718463512 + 0\\=&0.000015033x^{4} - 0.015057228x^{3} + 2.8210121436x^{2} - 163.5080781378x + 3100.8718463512\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!