There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 100 * {\frac{3}{2}}^{x} - 100x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 100 * {\frac{3}{2}}^{x} - 100x\right)}{dx}\\=&100({\frac{3}{2}}^{x}((1)ln(\frac{3}{2}) + \frac{(x)(0)}{(\frac{3}{2})})) - 100\\=&100 * {\frac{3}{2}}^{x}ln(\frac{3}{2}) - 100\\ \end{split}\end{equation} \]

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