There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{1065.24{(1 - e^{-0.01369x})}^{3.09178}}{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1065.24(-e^{-0.01369x} + 1)^{\frac{154589}{50000}}}{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1065.24(-e^{-0.01369x} + 1)^{\frac{154589}{50000}}}{x}\right)}{dx}\\=&\frac{1065.24(3.09178(-e^{-0.01369x} + 1)^{\frac{104589}{50000}}(-e^{-0.01369x}*-0.01369 + 0))}{x} + \frac{1065.24(-e^{-0.01369x} + 1)^{\frac{154589}{50000}}*-1}{x^{2}}\\=&\frac{45.087846985368(-e^{-0.01369x} + 1)^{\frac{104589}{50000}}e^{-0.01369x}}{x} - \frac{1065.24(-e^{-0.01369x} + 1)^{\frac{154589}{50000}}}{x^{2}}\\ \end{split}\end{equation} \]

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