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

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