There are 1 questions in this calculation: for each question, the 1 derivative of p is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ bp - a(p - bp) - \frac{c{p}^{2}}{2}\ with\ respect\ to\ p：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = bp - ap + bap - \frac{1}{2}cp^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( bp - ap + bap - \frac{1}{2}cp^{2}\right)}{dp}\\=&b - a + ba - \frac{1}{2}c*2p\\=&ba - a + b - cp\\ \end{split}\end{equation} \]

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