Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ 2xe^{-x}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2xe^{-x}\right)}{dx}\\=&2e^{-x} + 2xe^{-x}*-1\\=&2e^{-x} - 2xe^{-x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 2e^{-x} - 2xe^{-x}\right)}{dx}\\=&2e^{-x}*-1 - 2e^{-x} - 2xe^{-x}*-1\\=&-4e^{-x} + 2xe^{-x}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -4e^{-x} + 2xe^{-x}\right)}{dx}\\=&-4e^{-x}*-1 + 2e^{-x} + 2xe^{-x}*-1\\=&6e^{-x} - 2xe^{-x}\\ \end{split}\end{equation} \]





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