There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(3 - sin(x))}^{cos(x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (-sin(x) + 3)^{cos(x)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (-sin(x) + 3)^{cos(x)}\right)}{dx}\\=&((-sin(x) + 3)^{cos(x)}((-sin(x))ln(-sin(x) + 3) + \frac{(cos(x))(-cos(x) + 0)}{(-sin(x) + 3)}))\\=&-(-sin(x) + 3)^{cos(x)}ln(-sin(x) + 3)sin(x) - \frac{(-sin(x) + 3)^{cos(x)}cos^{2}(x)}{(-sin(x) + 3)}\\ \end{split}\end{equation} \]

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