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

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