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。\[ \begin{equation}\begin{split}【1/1】求函数0.02766 + \frac{0.56351}{e^{\frac{(x - 10.49453)}{6.61261}}} 关于 x 的 2 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{0.56351}{e^{0.151226217786925x - 1.58704807935142}} + 0.02766\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( \frac{0.56351}{e^{0.151226217786925x - 1.58704807935142}} + 0.02766\right)}{dx}\\=&\frac{0.56351*-e^{0.151226217786925x - 1.58704807935142}(0.151226217786925 + 0)}{e^{{\left(0.151226217786925x - 1.58704807935142\right)}*{2}}} + 0\\=&\frac{-0.0852174859851e^{0.151226217786925x - 1.58704807935142}}{e^{{\left(0.151226217786925x - 1.58704807935142\right)}*{2}}}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( \frac{-0.0852174859851e^{0.151226217786925x - 1.58704807935142}}{e^{{\left(0.151226217786925x - 1.58704807935142\right)}*{2}}}\right)}{dx}\\=&\frac{-0.0852174859851*-2e^{0.151226217786925x - 1.58704807935142}(0.151226217786925 + 0)e^{0.151226217786925x - 1.58704807935142}}{e^{{\left(0.151226217786925x - 1.58704807935142\right)}*{3}}} - \frac{0.0852174859851103e^{0.151226217786925x - 1.58704807935142}(0.151226217786925 + 0)}{e^{{\left(0.151226217786925x - 1.58704807935142\right)}*{2}}}\\=&\frac{0.0257742361896771e^{0.151226217786925x - 1.58704807935142}e^{0.151226217786925x - 1.58704807935142}}{e^{{\left(0.151226217786925x - 1.58704807935142\right)}*{3}}} - \frac{0.0128871180948385e^{0.151226217786925x - 1.58704807935142}}{e^{{\left(0.151226217786925x - 1.58704807935142\right)}*{2}}}\\ \end{split}\end{equation} \]你的问题在这里没有得到解决?请到 热门难题 里面看看吧!