There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({500}^{5}x){\frac{1}{(239869598960628)}}^{(x + 1)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 31250000000000x{\frac{1}{239869598960628}}^{(x + 1)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 31250000000000x{\frac{1}{239869598960628}}^{(x + 1)}\right)}{dx}\\=&31250000000000 * {\frac{1}{239869598960628}}^{(x + 1)} + 31250000000000x({\frac{1}{239869598960628}}^{(x + 1)}((1 + 0)ln(\frac{1}{239869598960628}) + \frac{(x + 1)(0)}{(\frac{1}{239869598960628})}))\\=&31250000000000 * {\frac{1}{239869598960628}}^{(x + 1)} + 31250000000000x{\frac{1}{239869598960628}}^{(x + 1)}ln(\frac{1}{239869598960628})\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！