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

Your problem has not been solved here? Please take a look at the  hot problems ！