There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{15}{2}x + \frac{\frac{15}{2}sin(2πx)}{2π}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{15}{2}x + \frac{\frac{15}{4}sin(2πx)}{π}\right)}{dx}\\=&\frac{15}{2} + \frac{\frac{15}{4}cos(2πx)*2π}{π}\\=&\frac{15cos(2πx)}{2} + \frac{15}{2}\\ \end{split}\end{equation} \]

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