There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({x}^{3} + 5{x}^{2} - 4x + 1)({x}^{5} - 7{x}^{4} + x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{8} - 2x^{7} - 6x^{4} - 39x^{6} + 5x^{3} + 29x^{5} - 4x^{2} + x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{8} - 2x^{7} - 6x^{4} - 39x^{6} + 5x^{3} + 29x^{5} - 4x^{2} + x\right)}{dx}\\=&8x^{7} - 2*7x^{6} - 6*4x^{3} - 39*6x^{5} + 5*3x^{2} + 29*5x^{4} - 4*2x + 1\\=&8x^{7} - 14x^{6} - 24x^{3} - 234x^{5} + 15x^{2} + 145x^{4} - 8x + 1\\ \end{split}\end{equation} \]

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