There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x - 1.56)}^{3}(x - 4.56)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{4} - 1.56x^{3} - 1.56x^{3} + 2.4336x^{2} - 1.56x^{3} + 2.4336x^{2} + 2.4336x^{2} - 3.796416x - 4.56x^{3} + 7.1136x^{2} + 7.1136x^{2} - 11.097216x + 7.1136x^{2} - 11.097216x - 11.097216x + 17.31165696\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{4} - 1.56x^{3} - 1.56x^{3} + 2.4336x^{2} - 1.56x^{3} + 2.4336x^{2} + 2.4336x^{2} - 3.796416x - 4.56x^{3} + 7.1136x^{2} + 7.1136x^{2} - 11.097216x + 7.1136x^{2} - 11.097216x - 11.097216x + 17.31165696\right)}{dx}\\=&4x^{3} - 1.56*3x^{2} - 1.56*3x^{2} + 2.4336*2x - 1.56*3x^{2} + 2.4336*2x + 2.4336*2x - 3.796416 - 4.56*3x^{2} + 7.1136*2x + 7.1136*2x - 11.097216 + 7.1136*2x - 11.097216 - 11.097216 + 0\\=&4x^{3} - 4.68x^{2} - 4.68x^{2} + 4.8672x - 4.68x^{2} + 4.8672x + 4.8672x - 13.68x^{2} + 14.2272x + 14.2272x + 14.2272x - 37.088064\\ \end{split}\end{equation} \]

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