There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(x)(5cos(x)cos(x) - 1)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5sin(x)cos^{2}(x) - sin(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 5sin(x)cos^{2}(x) - sin(x)\right)}{dx}\\=&5cos(x)cos^{2}(x) + 5sin(x)*-2cos(x)sin(x) - cos(x)\\=&5cos^{3}(x) - 10sin^{2}(x)cos(x) - cos(x)\\ \end{split}\end{equation} \]

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