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

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