There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(sin(x) - {x}^{2})}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin^{3}(x) - 3x^{2}sin^{2}(x) + 3x^{4}sin(x) - x^{6}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin^{3}(x) - 3x^{2}sin^{2}(x) + 3x^{4}sin(x) - x^{6}\right)}{dx}\\=&3sin^{2}(x)cos(x) - 3*2xsin^{2}(x) - 3x^{2}*2sin(x)cos(x) + 3*4x^{3}sin(x) + 3x^{4}cos(x) - 6x^{5}\\=&3sin^{2}(x)cos(x) - 6x^{2}sin(x)cos(x) - 6xsin^{2}(x) + 12x^{3}sin(x) + 3x^{4}cos(x) - 6x^{5}\\ \end{split}\end{equation} \]

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