There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{sin(x)}{sin(x + \frac{π}{6})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{sin(x)}{sin(x + \frac{1}{6}π)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{sin(x)}{sin(x + \frac{1}{6}π)}\right)}{dx}\\=&\frac{cos(x)}{sin(x + \frac{1}{6}π)} + \frac{sin(x)*-cos(x + \frac{1}{6}π)(1 + 0)}{sin^{2}(x + \frac{1}{6}π)}\\=&\frac{cos(x)}{sin(x + \frac{1}{6}π)} - \frac{sin(x)cos(x + \frac{1}{6}π)}{sin^{2}(x + \frac{1}{6}π)}\\ \end{split}\end{equation} \]

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