There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-15{x}^{(\frac{7}{2})}}{16}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{-15}{16}{x}^{\frac{7}{2}}\right)}{dx}\\=&\frac{-15}{16}({x}^{\frac{7}{2}}((0)ln(x) + \frac{(\frac{7}{2})(1)}{(x)}))\\=&\frac{-105x^{\frac{5}{2}}}{32}\\ \end{split}\end{equation} \]

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