There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {5}^{(sin(x) + 1)}cos(cos(x))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {5}^{(sin(x) + 1)}cos(cos(x))\right)}{dx}\\=&({5}^{(sin(x) + 1)}((cos(x) + 0)ln(5) + \frac{(sin(x) + 1)(0)}{(5)}))cos(cos(x)) + {5}^{(sin(x) + 1)}*-sin(cos(x))*-sin(x)\\=&{5}^{(sin(x) + 1)}ln(5)cos(x)cos(cos(x)) + {5}^{(sin(x) + 1)}sin(x)sin(cos(x))\\ \end{split}\end{equation} \]

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