There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (20 - x){(\frac{3}{2})}^{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 20 * {\frac{3}{2}}^{x} - x{\frac{3}{2}}^{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 20 * {\frac{3}{2}}^{x} - x{\frac{3}{2}}^{x}\right)}{dx}\\=&20({\frac{3}{2}}^{x}((1)ln(\frac{3}{2}) + \frac{(x)(0)}{(\frac{3}{2})})) - {\frac{3}{2}}^{x} - x({\frac{3}{2}}^{x}((1)ln(\frac{3}{2}) + \frac{(x)(0)}{(\frac{3}{2})}))\\=&20 * {\frac{3}{2}}^{x}ln(\frac{3}{2}) - {\frac{3}{2}}^{x} - x{\frac{3}{2}}^{x}ln(\frac{3}{2})\\ \end{split}\end{equation} \]

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