There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (5 - 5cos(\frac{3}{2}t) + e^{sin(t)} - arccos(t))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 5cos(\frac{3}{2}t) + e^{sin(t)} - arccos(t) + 5\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - 5cos(\frac{3}{2}t) + e^{sin(t)} - arccos(t) + 5\right)}{dx}\\=& - 5*-sin(\frac{3}{2}t)*0 + e^{sin(t)}cos(t)*0 - (\frac{-(0)}{((1 - (t)^{2})^{\frac{1}{2}})}) + 0\\=&0\\ \end{split}\end{equation} \]

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