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

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