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

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