There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -29.686{x}^{5} + 116.34{x}^{4} - 160.14{x}^{3} + 90.871{x}^{2} - 17.953x + 45.155\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -29.686x^{5} + 116.34x^{4} - 160.14x^{3} + 90.871x^{2} - 17.953x + 45.155\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -29.686x^{5} + 116.34x^{4} - 160.14x^{3} + 90.871x^{2} - 17.953x + 45.155\right)}{dx}\\=&-29.686*5x^{4} + 116.34*4x^{3} - 160.14*3x^{2} + 90.871*2x - 17.953 + 0\\=&-148.43x^{4} + 465.36x^{3} - 480.42x^{2} + 181.742x - 17.953\\ \end{split}\end{equation} \]

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