There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(sin({2}^{sinh(x)}))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(sin({2}^{sinh(x)}))\right)}{dx}\\=&\frac{cos({2}^{sinh(x)})({2}^{sinh(x)}((cosh(x))ln(2) + \frac{(sinh(x))(0)}{(2)}))}{(sin({2}^{sinh(x)}))}\\=&\frac{{2}^{sinh(x)}ln(2)cos({2}^{sinh(x)})cosh(x)}{sin({2}^{sinh(x)})}\\ \end{split}\end{equation} \]

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