There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{4({\frac{1}{(cos(x))}}^{(\frac{5}{2})})}{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{\frac{4}{5}}{cos^{\frac{5}{2}}(x)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{\frac{4}{5}}{cos^{\frac{5}{2}}(x)}\right)}{dx}\\=&\frac{\frac{4}{5}*\frac{5}{2}sin(x)}{cos^{\frac{7}{2}}(x)}\\=&\frac{2sin(x)}{cos^{\frac{7}{2}}(x)}\\ \end{split}\end{equation} \]

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