There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -0.0544{x}^{5} + 1.8394{x}^{4} - 24.465{x}^{3} + 159.68{x}^{2} - 510.35x + 638.27\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -0.0544x^{5} + 1.8394x^{4} - 24.465x^{3} + 159.68x^{2} - 510.35x + 638.27\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -0.0544x^{5} + 1.8394x^{4} - 24.465x^{3} + 159.68x^{2} - 510.35x + 638.27\right)}{dx}\\=&-0.0544*5x^{4} + 1.8394*4x^{3} - 24.465*3x^{2} + 159.68*2x - 510.35 + 0\\=&-0.272x^{4} + 7.3576x^{3} - 73.395x^{2} + 319.36x - 510.35\\ \end{split}\end{equation} \]

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