There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x(x + 50)(x + 100)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{3} + 150x^{2} + 5000x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{3} + 150x^{2} + 5000x\right)}{dx}\\=&3x^{2} + 150*2x + 5000\\=&3x^{2} + 300x + 5000\\ \end{split}\end{equation} \]

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