There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 114{x}^{(514x + 19)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 114{x}^{(514x + 19)}\right)}{dx}\\=&114({x}^{(514x + 19)}((514 + 0)ln(x) + \frac{(514x + 19)(1)}{(x)}))\\=&58596{x}^{(514x + 19)}ln(x) + 58596{x}^{(514x + 19)} + \frac{2166{x}^{(514x + 19)}}{x}\\ \end{split}\end{equation} \]

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