There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(cos(x))}^{(\frac{-1}{3})}(sin(x)) - x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{sin(x)}{cos^{\frac{1}{3}}(x)} - x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{sin(x)}{cos^{\frac{1}{3}}(x)} - x\right)}{dx}\\=&\frac{cos(x)}{cos^{\frac{1}{3}}(x)} + \frac{sin(x)*\frac{1}{3}sin(x)}{cos^{\frac{4}{3}}(x)} - 1\\=&cos^{\frac{2}{3}}(x) + \frac{sin^{2}(x)}{3cos^{\frac{4}{3}}(x)} - 1\\ \end{split}\end{equation} \]

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