There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {({x}^{16} + 15)}^{(\frac{5}{2})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (x^{16} + 15)^{\frac{5}{2}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (x^{16} + 15)^{\frac{5}{2}}\right)}{dx}\\=&(\frac{5}{2}(x^{16} + 15)^{\frac{3}{2}}(16x^{15} + 0))\\=&40(x^{16} + 15)^{\frac{3}{2}}x^{15}\\ \end{split}\end{equation} \]

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