There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-{x}^{4}}{2} + 4{x}^{3} - 12{x}^{2} - 3x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-1}{2}x^{4} + 4x^{3} - 12x^{2} - 3x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{-1}{2}x^{4} + 4x^{3} - 12x^{2} - 3x\right)}{dx}\\=&\frac{-1}{2}*4x^{3} + 4*3x^{2} - 12*2x - 3\\=&-2x^{3} + 12x^{2} - 24x - 3\\ \end{split}\end{equation} \]

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