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

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