There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(In*2x - 3)}^{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 32I^{5}n^{5}x^{5} - 240I^{4}n^{4}x^{4} + 720I^{3}n^{3}x^{3} - 1080I^{2}n^{2}x^{2} + 810Inx - 243\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 32I^{5}n^{5}x^{5} - 240I^{4}n^{4}x^{4} + 720I^{3}n^{3}x^{3} - 1080I^{2}n^{2}x^{2} + 810Inx - 243\right)}{dx}\\=&32I^{5}n^{5}*5x^{4} - 240I^{4}n^{4}*4x^{3} + 720I^{3}n^{3}*3x^{2} - 1080I^{2}n^{2}*2x + 810In + 0\\=&160I^{5}n^{5}x^{4} - 960I^{4}n^{4}x^{3} + 2160I^{3}n^{3}x^{2} - 2160I^{2}n^{2}x + 810In\\ \end{split}\end{equation} \]

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