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。\[ \begin{equation}\begin{split}【1/1】求函数(x + 11)(x - 15)(x + 4.58875)(x - 5.55284) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = x^{4} - 5.55284x^{3} + 4.58875x^{3} - 25.48059455x^{2} - 15x^{3} + 83.2926x^{2} - 68.83125x^{2} + 382.20891825x + 11x^{3} - 61.08124x^{2} + 50.47625x^{2} - 280.28654005x - 165x^{2} + 916.2186x - 757.14375x + 4204.29810075\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( x^{4} - 5.55284x^{3} + 4.58875x^{3} - 25.48059455x^{2} - 15x^{3} + 83.2926x^{2} - 68.83125x^{2} + 382.20891825x + 11x^{3} - 61.08124x^{2} + 50.47625x^{2} - 280.28654005x - 165x^{2} + 916.2186x - 757.14375x + 4204.29810075\right)}{dx}\\=&4x^{3} - 5.55284*3x^{2} + 4.58875*3x^{2} - 25.48059455*2x - 15*3x^{2} + 83.2926*2x - 68.83125*2x + 382.20891825 + 11*3x^{2} - 61.08124*2x + 50.47625*2x - 280.28654005 - 165*2x + 916.2186 - 757.14375 + 0\\=&4x^{3} - 16.65852x^{2} + 13.76625x^{2} - 50.9611891x - 45x^{2} + 166.5852x - 137.6625x + 33x^{2} - 122.16248x + 100.9525x - 330x + 260.9972282\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!