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

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