There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2000x + 10000 * {\frac{11}{10}}^{(40 - x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2000x + 10000 * {\frac{11}{10}}^{(-x + 40)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2000x + 10000 * {\frac{11}{10}}^{(-x + 40)}\right)}{dx}\\=&2000 + 10000({\frac{11}{10}}^{(-x + 40)}((-1 + 0)ln(\frac{11}{10}) + \frac{(-x + 40)(0)}{(\frac{11}{10})}))\\=&-10000 * {\frac{11}{10}}^{(-x + 40)}ln(\frac{11}{10}) + 2000\\ \end{split}\end{equation} \]

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