There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (10{t}^{2} + 500t + 6000)(0.01{t}^{2} + 0.2t + 10)\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.1t^{4} + 2t^{3} + 5t^{3} + 100t^{2} + 100t^{2} + 5000t + 60t^{2} + 1200t + 60000\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 0.1t^{4} + 2t^{3} + 5t^{3} + 100t^{2} + 100t^{2} + 5000t + 60t^{2} + 1200t + 60000\right)}{dt}\\=&0.1*4t^{3} + 2*3t^{2} + 5*3t^{2} + 100*2t + 100*2t + 5000 + 60*2t + 1200 + 0\\=&0.4t^{3} + 6t^{2} + 15t^{2} + 200t + 200t + 120t + 6200\\ \end{split}\end{equation} \]

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