There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -7{x}^{\frac{9}{2}} + \frac{3}{({x}^{\frac{7}{2}})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -7x^{\frac{9}{2}} + \frac{3}{x^{\frac{7}{2}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -7x^{\frac{9}{2}} + \frac{3}{x^{\frac{7}{2}}}\right)}{dx}\\=&-7*\frac{9}{2}x^{\frac{7}{2}} + \frac{3*\frac{-7}{2}}{x^{\frac{9}{2}}}\\=&\frac{-63x^{\frac{7}{2}}}{2} - \frac{21}{2x^{\frac{9}{2}}}\\ \end{split}\end{equation} \]

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