There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 1000({t}^{(\frac{3}{2})} + {t}^{2})\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 1000t^{\frac{3}{2}} + 1000t^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 1000t^{\frac{3}{2}} + 1000t^{2}\right)}{dt}\\=&1000*\frac{3}{2}t^{\frac{1}{2}} + 1000*2t\\=&1500t^{\frac{1}{2}} + 2000t\\ \end{split}\end{equation} \]

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