There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(3x + 5)}^{3}{(5x + 4)}^{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 84375x^{8} + 759375x^{7} + 2930625x^{6} + 6335125x^{5} + 8395300x^{4} + 6991648x^{3} + 3578240x^{2} + 1030400x + 128000\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 84375x^{8} + 759375x^{7} + 2930625x^{6} + 6335125x^{5} + 8395300x^{4} + 6991648x^{3} + 3578240x^{2} + 1030400x + 128000\right)}{dx}\\=&84375*8x^{7} + 759375*7x^{6} + 2930625*6x^{5} + 6335125*5x^{4} + 8395300*4x^{3} + 6991648*3x^{2} + 3578240*2x + 1030400 + 0\\=&675000x^{7} + 5315625x^{6} + 17583750x^{5} + 31675625x^{4} + 33581200x^{3} + 20974944x^{2} + 7156480x + 1030400\\ \end{split}\end{equation} \]

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