There are 1 questions in this calculation: for each question, the 1 derivative of w is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {0.32}^{2}{w}^{2} + {0.23}^{2}{(1 - w)}^{2} + 2*0.32*0.23w(1 - w)*0.15\ with\ respect\ to\ w：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.1024w^{2} + 0.0529w^{2} - 0.0529w - 0.0529w + 0.02208w - 0.02208w^{2} + 0.0529\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 0.1024w^{2} + 0.0529w^{2} - 0.0529w - 0.0529w + 0.02208w - 0.02208w^{2} + 0.0529\right)}{dw}\\=&0.1024*2w + 0.0529*2w - 0.0529 - 0.0529 + 0.02208 - 0.02208*2w + 0\\=&0.2048w + 0.1058w - 0.04416w - 0.08372\\ \end{split}\end{equation} \]

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