There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 27.8338533{x}^{3} + 114.9978657{x}^{2} - 510.6948834x - 0.7184908lg(x) + 10.7887226\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 27.8338533x^{3} + 114.9978657x^{2} - 510.6948834x - 0.7184908lg(x) + 10.7887226\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 27.8338533x^{3} + 114.9978657x^{2} - 510.6948834x - 0.7184908lg(x) + 10.7887226\right)}{dx}\\=&27.8338533*3x^{2} + 114.9978657*2x - 510.6948834 - \frac{0.7184908}{ln{10}(x)} + 0\\=& - \frac{0.7184908}{xln{10}} + 229.9957314x + 83.5015599x^{2} - 510.6948834\\ \end{split}\end{equation} \]

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