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

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