There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ (85{x}^{2} - 14x + 82)e^{-3x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 85x^{2}e^{-3x} - 14xe^{-3x} + 82e^{-3x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 85x^{2}e^{-3x} - 14xe^{-3x} + 82e^{-3x}\right)}{dx}\\=&85*2xe^{-3x} + 85x^{2}e^{-3x}*-3 - 14e^{-3x} - 14xe^{-3x}*-3 + 82e^{-3x}*-3\\=&212xe^{-3x} - 255x^{2}e^{-3x} - 260e^{-3x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 212xe^{-3x} - 255x^{2}e^{-3x} - 260e^{-3x}\right)}{dx}\\=&212e^{-3x} + 212xe^{-3x}*-3 - 255*2xe^{-3x} - 255x^{2}e^{-3x}*-3 - 260e^{-3x}*-3\\=&992e^{-3x} - 1146xe^{-3x} + 765x^{2}e^{-3x}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 992e^{-3x} - 1146xe^{-3x} + 765x^{2}e^{-3x}\right)}{dx}\\=&992e^{-3x}*-3 - 1146e^{-3x} - 1146xe^{-3x}*-3 + 765*2xe^{-3x} + 765x^{2}e^{-3x}*-3\\=&-4122e^{-3x} + 4968xe^{-3x} - 2295x^{2}e^{-3x}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！