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

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