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

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