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 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ xe^{x} - Inx\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( xe^{x} - Inx\right)}{dx}\\=&e^{x} + xe^{x} - In\\=&e^{x} + xe^{x} - In\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( e^{x} + xe^{x} - In\right)}{dx}\\=&e^{x} + e^{x} + xe^{x} + 0\\=&2e^{x} + xe^{x}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 2e^{x} + xe^{x}\right)}{dx}\\=&2e^{x} + e^{x} + xe^{x}\\=&3e^{x} + xe^{x}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 3e^{x} + xe^{x}\right)}{dx}\\=&3e^{x} + e^{x} + xe^{x}\\=&4e^{x} + xe^{x}\\ \end{split}\end{equation} \]





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