There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(3x + 2)}^{3}{(5y + 7x)}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 675y^{2}x^{3} + 1890yx^{4} + 1323x^{5} + 1350y^{2}x^{2} + 3780yx^{3} + 2646x^{4} + 900y^{2}x + 2520yx^{2} + 1764x^{3} + 560yx + 200y^{2} + 392x^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 675y^{2}x^{3} + 1890yx^{4} + 1323x^{5} + 1350y^{2}x^{2} + 3780yx^{3} + 2646x^{4} + 900y^{2}x + 2520yx^{2} + 1764x^{3} + 560yx + 200y^{2} + 392x^{2}\right)}{dx}\\=&675y^{2}*3x^{2} + 1890y*4x^{3} + 1323*5x^{4} + 1350y^{2}*2x + 3780y*3x^{2} + 2646*4x^{3} + 900y^{2} + 2520y*2x + 1764*3x^{2} + 560y + 0 + 392*2x\\=&2025y^{2}x^{2} + 7560yx^{3} + 6615x^{4} + 2700y^{2}x + 11340yx^{2} + 10584x^{3} + 5040yx + 900y^{2} + 5292x^{2} + 560y + 784x\\ \end{split}\end{equation} \]

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