There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt(\frac{-1}{2}{x}^{3} - 5x + 10)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(\frac{-1}{2}x^{3} - 5x + 10)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sqrt(\frac{-1}{2}x^{3} - 5x + 10)\right)}{dx}\\=&\frac{(\frac{-1}{2}*3x^{2} - 5 + 0)*\frac{1}{2}}{(\frac{-1}{2}x^{3} - 5x + 10)^{\frac{1}{2}}}\\=&\frac{-3x^{2}}{4(\frac{-1}{2}x^{3} - 5x + 10)^{\frac{1}{2}}} - \frac{5}{2(\frac{-1}{2}x^{3} - 5x + 10)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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