There are 1 questions in this calculation: for each question, the 1 derivative of w is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(({w}^{2})({e}^{w}))}{({(sin(w))}^{2})}\ with\ respect\ to\ w：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{w^{2}{e}^{w}}{sin^{2}(w)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{w^{2}{e}^{w}}{sin^{2}(w)}\right)}{dw}\\=&\frac{2w{e}^{w}}{sin^{2}(w)} + \frac{w^{2}({e}^{w}((1)ln(e) + \frac{(w)(0)}{(e)}))}{sin^{2}(w)} + \frac{w^{2}{e}^{w}*-2cos(w)}{sin^{3}(w)}\\=&\frac{-2w^{2}{e}^{w}cos(w)}{sin^{3}(w)} + \frac{w^{2}{e}^{w}}{sin^{2}(w)} + \frac{2w{e}^{w}}{sin^{2}(w)}\\ \end{split}\end{equation} \]

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