There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({e}^{x}y)sin(x + y)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = y{e}^{x}sin(x + y)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( y{e}^{x}sin(x + y)\right)}{dx}\\=&y({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)}))sin(x + y) + y{e}^{x}cos(x + y)(1 + 0)\\=&y{e}^{x}sin(x + y) + y{e}^{x}cos(x + y)\\ \end{split}\end{equation} \]

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