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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ x(1 - (e^{x})*2)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 2xe^{x} + x\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - 2xe^{x} + x\right)}{dx}\\=& - 2e^{x} - 2xe^{x} + 1\\=& - 2e^{x} - 2xe^{x} + 1\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( - 2e^{x} - 2xe^{x} + 1\right)}{dx}\\=& - 2e^{x} - 2e^{x} - 2xe^{x} + 0\\=& - 4e^{x} - 2xe^{x}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( - 4e^{x} - 2xe^{x}\right)}{dx}\\=& - 4e^{x} - 2e^{x} - 2xe^{x}\\=& - 6e^{x} - 2xe^{x}\\ \end{split}\end{equation} \]





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