There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {t}^{(\frac{3}{2})}\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {t}^{\frac{3}{2}}\right)}{dt}\\=&({t}^{\frac{3}{2}}((0)ln(t) + \frac{(\frac{3}{2})(1)}{(t)}))\\=&\frac{3t^{\frac{1}{2}}}{2}\\ \end{split}\end{equation} \]

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