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。
\[ \begin{equation}\begin{split}【1/1】求函数4185.9873{(1 - {e}^{(0.05752(x + 0.175))})}^{3} 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = -4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} - 4185.9873{e}^{(0.05752x + 0.010066)} - 4185.9873{e}^{(0.05752x + 0.010066)} - 4185.9873{e}^{(0.05752x + 0.010066)} + 4185.9873\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( -4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} - 4185.9873{e}^{(0.05752x + 0.010066)} - 4185.9873{e}^{(0.05752x + 0.010066)} - 4185.9873{e}^{(0.05752x + 0.010066)} + 4185.9873\right)}{dx}\\=&-4185.9873({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})){e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} - 4185.9873{e}^{(0.05752x + 0.010066)}({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})){e}^{(0.05752x + 0.010066)} - 4185.9873{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)}({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})) + 4185.9873({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})){e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})) + 4185.9873({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})){e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})) + 4185.9873({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})){e}^{(0.05752x + 0.010066)} + 4185.9873{e}^{(0.05752x + 0.010066)}({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})) - 4185.9873({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})) - 4185.9873({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})) - 4185.9873({e}^{(0.05752x + 0.010066)}((0.05752 + 0)ln(e) + \frac{(0.05752x + 0.010066)(0)}{(e)})) + 0\\=&-240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} - 240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} - 240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} + 240.777989496{e}^{(0.05752x + 0.010066)}{e}^{(0.05752x + 0.010066)} - 240.777989496{e}^{(0.05752x + 0.010066)} - 240.777989496{e}^{(0.05752x + 0.010066)} - 240.777989496{e}^{(0.05752x + 0.010066)}\\ \end{split}\end{equation} \]

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