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。\[ \begin{equation}\begin{split}【1/1】求函数3.96989 * {10}^{7} + 4427983.91722x - 210750.05141{x}^{2} + 5548.264{x}^{3} - 87.25095{x}^{4} + 0.81956{x}^{5} - 0.00426{x}^{6} + 9.4305*0.000001{x}^{7} 关于 x 的 2 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = 4427983.91722x - 210750.05141x^{2} + 5548.264x^{3} - 87.25095x^{4} + 0.81956x^{5} - 0.00426x^{6} + 0.0000094305x^{7} + 39698900\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( 4427983.91722x - 210750.05141x^{2} + 5548.264x^{3} - 87.25095x^{4} + 0.81956x^{5} - 0.00426x^{6} + 0.0000094305x^{7} + 39698900\right)}{dx}\\=&4427983.91722 - 210750.05141*2x + 5548.264*3x^{2} - 87.25095*4x^{3} + 0.81956*5x^{4} - 0.00426*6x^{5} + 0.0000094305*7x^{6} + 0\\=& - 421500.10282x + 16644.792x^{2} - 349.0038x^{3} + 4.0978x^{4} - 0.02556x^{5} + 0.0000660135x^{6} + 4427983.91722\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( - 421500.10282x + 16644.792x^{2} - 349.0038x^{3} + 4.0978x^{4} - 0.02556x^{5} + 0.0000660135x^{6} + 4427983.91722\right)}{dx}\\=& - 421500.10282 + 16644.792*2x - 349.0038*3x^{2} + 4.0978*4x^{3} - 0.02556*5x^{4} + 0.0000660135*6x^{5} + 0\\=&33289.584x - 1047.0114x^{2} + 16.3912x^{3} - 0.1278x^{4} + 0.000396081x^{5} - 421500.10282\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!