There are 1 questions in this calculation: for each question, the 1 derivative of y is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {e}^{x}sin({x}^{2} + y)\ with\ respect\ to\ y：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {e}^{x}sin(x^{2} + y)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {e}^{x}sin(x^{2} + y)\right)}{dy}\\=&({e}^{x}((0)ln(e) + \frac{(x)(0)}{(e)}))sin(x^{2} + y) + {e}^{x}cos(x^{2} + y)(0 + 1)\\=&{e}^{x}cos(x^{2} + y)\\ \end{split}\end{equation} \]

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