There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -(55{x}^{2} + x + 12)sin(5x + 1)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -55x^{2}sin(5x + 1) - xsin(5x + 1) - 12sin(5x + 1)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -55x^{2}sin(5x + 1) - xsin(5x + 1) - 12sin(5x + 1)\right)}{dx}\\=&-55*2xsin(5x + 1) - 55x^{2}cos(5x + 1)(5 + 0) - sin(5x + 1) - xcos(5x + 1)(5 + 0) - 12cos(5x + 1)(5 + 0)\\=&-110xsin(5x + 1) - 275x^{2}cos(5x + 1) - sin(5x + 1) - 5xcos(5x + 1) - 60cos(5x + 1)\\ \end{split}\end{equation} \]

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