There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x({(sin(x))}^{6} + {(cos(x))}^{6})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xsin^{6}(x) + xcos^{6}(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xsin^{6}(x) + xcos^{6}(x)\right)}{dx}\\=&sin^{6}(x) + x*6sin^{5}(x)cos(x) + cos^{6}(x) + x*-6cos^{5}(x)sin(x)\\=&sin^{6}(x) + 6xsin^{5}(x)cos(x) + cos^{6}(x) - 6xsin(x)cos^{5}(x)\\ \end{split}\end{equation} \]

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