There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (-({t}^{2})ln(t) - (\frac{({t}^{2})}{3})){(ln(t))}^{2}\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -t^{2}ln^{3}(t) - \frac{1}{3}t^{2}ln^{2}(t)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -t^{2}ln^{3}(t) - \frac{1}{3}t^{2}ln^{2}(t)\right)}{dt}\\=&-2tln^{3}(t) - \frac{t^{2}*3ln^{2}(t)}{(t)} - \frac{1}{3}*2tln^{2}(t) - \frac{\frac{1}{3}t^{2}*2ln(t)}{(t)}\\=&-2tln^{3}(t) - \frac{11tln^{2}(t)}{3} - \frac{2tln(t)}{3}\\ \end{split}\end{equation} \]

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