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。
\[ \begin{equation}\begin{split}【1/1】求函数{(\frac{sqrt(5)}{2} - \frac{1}{2})}^{x} + {(\frac{sqrt(5)}{2} + \frac{1}{2})}^{x} 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = (\frac{1}{2}sqrt(5) - \frac{1}{2})^{x} + (\frac{1}{2}sqrt(5) + \frac{1}{2})^{x}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( (\frac{1}{2}sqrt(5) - \frac{1}{2})^{x} + (\frac{1}{2}sqrt(5) + \frac{1}{2})^{x}\right)}{dx}\\=&((\frac{1}{2}sqrt(5) - \frac{1}{2})^{x}((1)ln(\frac{1}{2}sqrt(5) - \frac{1}{2}) + \frac{(x)(\frac{1}{2}*0*\frac{1}{2}*5^{\frac{1}{2}} + 0)}{(\frac{1}{2}sqrt(5) - \frac{1}{2})})) + ((\frac{1}{2}sqrt(5) + \frac{1}{2})^{x}((1)ln(\frac{1}{2}sqrt(5) + \frac{1}{2}) + \frac{(x)(\frac{1}{2}*0*\frac{1}{2}*5^{\frac{1}{2}} + 0)}{(\frac{1}{2}sqrt(5) + \frac{1}{2})}))\\=&(\frac{1}{2}sqrt(5) - \frac{1}{2})^{x}ln(\frac{1}{2}sqrt(5) - \frac{1}{2}) + (\frac{1}{2}sqrt(5) + \frac{1}{2})^{x}ln(\frac{1}{2}sqrt(5) + \frac{1}{2})\\ \end{split}\end{equation} \]

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